1) Assertion: two angles are called adjacent if they have common vertex
Reason: the adjacent angle have common interior point.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c) Assertion is correct but reason is false.
2) Assertion: the sum of two adjacent angle is 100° and one of them is 35° then other is 65°
Reason: adjacent angle are always supplementary.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c) Assertion is correct but reason is false.
3) Assertion: an exterior angle of triangle is equal to sum of two interior opposite angle.
Reason: if two angles are complementary of each other then each angle is acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b)both Assertion and reason are correct but reason is not correct explanation of Assertion
4) Assertion: 80° is an acute angle type
Reason: the angle which is less than 90° is known as acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
5) Assertion: the measurment of angle A is 160 ° and it’s type is obtuse angle
Reason: the angle which is greater than 90°and smaller than 180° is known as obtuse angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
6) Assertion: The supplement of the angle (120+a−2b)° is (60−a+2b)°
Reason: if the sum of two angle is 180° then the angle are supplementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
7) Assertion: If one angle of a triangle is equal to the sum of the other two angles, then the triangle is right angle triangle
Reason: In △ABC,∠A=∠B+∠C sum of angles = 180
∠A+∠B+∠C=180
∠A+∠A=180
∠A=90° Thus, △ABC, is a right angled triangle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Assertion and reason are correct and reason is correct explanation for Assertion.
9) Assertion: complementary angle of 72(1/2)° is 17(1/2)
Reason: sum of two complementary angle is 90°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is not correct explanation for Assertion
10) Assertion: 183° is a type of reflex angle
Reason: a reflex angle is smaller than straight angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c) Assertion is correct but reason is false.
11) Assertion: In ΔABC, ∠A=43°and ∠C=70°then the measure of ∠B is 67°
Reason: sum of angle of triangle is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
12) Assertion: sum of two adjacent angle is 70°
Reason: Two angles which have a different vertex, a different arm and same interiors are said to be adjacent angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason aassertion
Ans: d) both Assertion and reason are false
13) Assertion : Sum of the pair of angles 120° and 60° is supplementary.
Reason: Two angles, the sum of whose measures is 180°, are called supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason aassertion
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
14) Assertion: The angles of a triangle are in the ratio 2:3: 4. The largest angle of the triangle is 80°.
Reason: The sum of all the interior angles of a triangle is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason aassertion
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
15) Assertion: If angles ‘a’ and ‘b’ form a linear pair of angles and a = 40°, then b = 150°.
Reason: Sum of linear pair of angles is always 250°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason assertion
Ans: d) both Assertion and reason are false
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason assertion
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
17) Assertion : If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5:4, then the greater of the two angles is 100°
Reason: If a transversal intersects two parallel lines, then the sum of the interior angles on the same side of the transversal is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason assertion
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
18) Assertion: An angle is 14º more than its complementary angle, then angle is 52º.
Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason assertion
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
19) Assertion: Supplement of angle is one fourth of itself. The measure of the angle is 144°
Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
20) Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.
Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans:b) both Assertion and reason are correct and reason is correct explanation for Assertion
21) Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 110°, then each of the equal internal angle is 55°
Reason: A triangle with one of its angle 90°, is called a right triangle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
22) Assertion: A triangle can have two obtuse angles.
Reason: The sum of all the interior angles of a triangle is 150°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
23) Assertion: The name Straight-angle comes from straight-line.
Reason: The sum of angles that are formed on a straight line is equal to 180°.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
24) Assertion: A line segment is a part of a line with two end-points.
Reason: a line can be extended from both side
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
25) Assertion: Two lines are said to be parallel when they do not meet at any point or which do not intersects each other.
Reason: Parallel lines never meet no matter how much they are extended in either direction.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason aassertion
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
26) Assertion:a ray has only one end points.
Reason: A ray is a part of a line, which has a starting point and tends infinitely in both direction.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is correct and reason is false
27) Assertion: If the inclination between the arms is less than a right angle, it is called an acute angle.
Reason: 134° is type of acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is correct but reason is false
28) Assertion: If the arms form an angle of 90 degrees between them, it is called a right angle.
Reason: Two angles whose sum is equal to 90 degrees are called supplementary angles.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
29) Assertion: Two angles whose sum is equal to 90 degrees are called complementary angles.
Reason: 58° and 32° are the complements of each other.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
30) Assertion: Two angles which are formed, opposite to each other, when two lines intersect at a point or vertex, are called vertically opposite angles.
Reason: A pair of vertically opposite angles are always equal to each other
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
31) Assertion: Bisectors of the adjacent angles forming a linear pair form a right angle.
Reason: Angles forming a linear pair can both be acute angles
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is correct but reason is false
32) Assertion: If the supplement of an angle is three times its complement, then angel is45°
Reason: Two complementary angles with a different vertex and a different arm are called adjacent complementary angles.
correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
33) Assertion: two adjacent angle always formed a linear lair.
Reason: All linear pairs of angles are adjacent angles and all adjacent angles are linear pairs.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: d) both Assertion and reason are false
34) Assertion: a segment has leangth
Reason: three lines are concurrent if they have common points
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
35) Assertion: 91° is an example of acute angle
Reason: A triangle which consists of three acute angles. It means that all the angles are less than 90 degrees is known as acute angle triangle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
36) Assertion: straight angle is an 180°
Reason: reflex angle is grater than straight angle and less than complete angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion.
37) Assertion: two adjacent angle are equal. It is not necessary that each of these angle will be right angle.
Reason: two adjacent angles are equal .it is necessary that each of these angle will be a right angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
38) Assertion: Perpendicular lines always meet or intersect each other.
Reason: The angle between any two perpendicular lines is always equal to 90.°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
39) Assertion: an exterior angle of a triangle is equal to sum of corresponding two interior opposite angle
Reason: three pairs of corresponding angles formed by a transversal of two parallel lines
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
40) Assertion: ∠A and ∠B are supplementary angles. ∠A=x+10° and ∠B=x−10° then ∠A and ∠B are 100° and 80°
Reason: The angles x−10° and 190°-x are supplementary
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: b)both asertion and reason are correct but reason is not correct explanation for Assertion.
41) Assertion: 70° is an acute angle type
Reason: the time is 12:30 o’clock, the angle formed between the hour hand and the minute hand is an acute angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is correct but reason is false
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
43) Assertion: The adjacent angles on a straight line are (5x−6)° and 7(x+6)° then the value of x is 12
Reason: sum of adjacent angle on straight line is 180°
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
44) Assertion: straigth angle>right angle>reflex angle
Reason: right angle> obtuse angle > acute angle
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
45) Assertion: (110(1/2))° is a acute angle
Reason : 55° is less than 90 degrees and greater than 0 degrees , so it is called as acute angle.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false
47) Assertion: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.
Reason: Two parallel lines intersect at One point
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false
Ans: c) Assertion is true but reason is false.
48) Assertion: 60° is the complement of 30°
Reason: The complement angle of 80° is π/18 radian
a) both assertion and reason are correct and reason is the correct explanation for assertion
b) both assertion and reason are correct but reason is not correct explanation for assertion
c) assertion is true but reason is false
d both assertion and reason are false.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion
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