Lines and Angles Class 7 MCQ Questions Maths are covered in this Article. Lines and Angles Class 7 MCQ Test contains 6 questions. Answers to MCQs on Lines and Angles Class 7 are available at the end of the last question. These MCQ have been made for Class 7 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 7 |
| Chapter | Chapter 5 Lines and Angles |
Lines and Angles Class 7 MCQ Questions
1.If one of the two Complementary Angles is 63˚ , what is the measure of the other Angle ?
(a) 24˚
(b) 33˚
(c) 27˚
(d) 22˚
Answer
Answer: (c) 27˚
Explanation: Two Angles are said to be Complementary Angles, if the sum of their measure is 90˚.
Measure of one Angle = 63 ˚
Let the Measure of the Second Angle be =x ˚
Sum of Complementary Angles =90 ˚
In other words, 63˚ + x˚ = 90˚
x˚ = 90˚ – 63˚
x˚ = 27˚
Hence, the measure of the other Angle is = 27˚.
2.If two Angles are Supplementary, and one of the Angles is 130˚ , what is the measure of the other Angle?
(a) 50˚
(b) 47˚
(c) 56˚
(d) 45˚
Answer
Answer: (a) 50˚
Explanation: If two Angles are Supplementary, then their sum of measure is 180˚
Measure of one Angle = 130˚
Let the Measure of the Second Angle be = x˚
Sum of Supplementary Angles = 180˚
In other words, 130˚ + x˚ = 180˚
x˚ = 180˚ – 130˚
x˚ = 50˚
Hence, the measure of the other Angle is = 50˚.
3.The difference in the measure of two Complementary Angles is 8˚ . Find the measure of Angles.
(a) 49˚ and 41˚
(b) 44˚ and 46˚
(c) 56˚ and 34˚
Answer
Answer: (a) 49˚ and 41˚
Explanation: Two Angles are said to be Complementary Angles, if the sum of their measure is 90˚.
Let the measure of one Complementary Angle = ( x )˚
Then, the measure of other Angle = ( x – 8 )˚
Sum of Complementary Angles = 90˚
x˚ + x˚ – 8˚ = 90˚
2x˚ = 90˚ + 8˚
2x˚ = 98˚
x˚ = 98˚/2
x˚ = 49˚
Hence, the measure of one Angle = ( x )˚ = 49˚
The measure of other Angle = ( x – 8 )˚ = ( 49 – 8)˚ = 41˚
Lines and Angles Class 7 MCQ Questions
4.The difference of the measure of two supplementary Angles is 72˚ . Find the measure of Angles.
(a) 126˚ and 54˚
(b) 121˚ and 59˚
(c) 133˚ and 47˚
Answer
Answer: (a) 126˚ and 54˚
Explanation: If two Angles are supplementary, then their sum of measure is 180˚
Let the measure of one Angle = ( x )˚
Then, the measure of other Angle = ( x – 72 )˚
Sum of Supplementary Angles = 180˚
x˚ + x˚ – 72˚ = 180˚
2x˚ = 180˚ + 72˚
2x˚ = 252˚
x˚ = 252˚/2
x˚ = 126˚
Hence, the measure of one Angle = ( x )˚ = 126˚
and other Angle = ( x – 72 )˚ = ( 126 – 72)˚ = 54˚
5.Two supplementary Angles are in the ratio of 7 : 11 , find the Angles?
(a) 70˚ and 110˚
(b) 75˚ and 105˚
(c) 66˚ and 114˚
Answer
Answer: (a) 70˚ and 110˚
Explanation: If two Angles are Supplementary, then their sum of measure is 180˚
Let the measures of two Angles be ( 7a )˚ and ( 11a )˚
Sum of Supplementary Angles = 180˚
( 7a )˚ + (11a )˚ = 180˚
( 18a )˚ = 180˚
a = 180˚/18
a = 10 ˚
Hence, measure of two Angles are:
( 7a )˚ = ( 7 x 10 )˚ = 70˚
( 11a )˚ = ( 11 x 10 )˚ = 110˚
6.If two complementary Angles are in the ratio 11 : 4 , find the Angles?
(a) 66˚ and 24˚
(b) 71˚ and 19˚
(c) 62˚ and 28˚
Answer
Answer: (a) 66˚ and 24˚
Explanation: Two Angles are said to be Complementary Angles, if the sum of their measure is 90˚.
Let the measures of two Angles be ( 11a )˚ and ( 4a )˚
Sum of Complementary Angles = 90˚
( 11a )˚ + (4a )˚ = 90˚
( 15a )˚ = 90˚
a = 90˚/15
a = 6 ˚
Hence, measure of two Angles are:
( 11a )˚ = ( 11 x 6 )˚ = 66˚
( 4a )˚ = ( 4 x 6 )˚ = 24˚
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Frequently Asked Questions on Lines and Angles Class 7 MCQ Questions
1. Are these MCQ on Lines and Angles Class 7 are based on 2021-22 CBSE Syllabus?
Yes. There are 6 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 7 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
Yes, we are providing all the chapters of Maths Class 7 MCQs with Answers.