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1. NCERT Solutions - Mathematics, Class 7

CHAPTERS

1. Integers

2. Fractions and Decimals

3. Data Handling

4. Simple Equations

5. Lines and Angles

6. The Triangle and its properties

7. Congruence of Triangles

8. Comparing Quantities

9. Rational Numbers

10. Perimeter and Area

11. Algebraic Expressions

12. Exponents and Powers

13. Symmetry

14. Visualising Solid Shapes

EXERCISES

1. Exercise 5.1

2. Exercise 5.2

Q1) Find the compliment of each of the following angles.

i)

ii)

iii)

Q2) Find the supplement of each of the following angles.

Q3) Identify which of the following pairs of angles are complementary and which are supplementary.

i) 65° , 115°

ii) 63° , 27°

iii) 112° , 68°

iv) 130° , 50°

v) 45° , 45°

vi) 80° , 10°

Q4) Find the angle which is equal to its complement.

Q5) Find the angle which is equal to its supplement.

Q6) In the given figure, ∠1 and ∠2 are supplementary angles.

If ∠1 is decreased, what changes should take place

in ∠2 so that both the angles still remain supplementary.

Q7) Can two angles be supplementary if both of them are:

i) Acute?

ii) Obtuse?

iii) Right?

Q8) An angle is greater than 45° . Is its complementary angle greater than 45° or equal to 45° or less than 45° ?

Q9) In the adjoining figure:

(i) Is ∠1 adjacent to ∠2?

(ii) Is ∠AOC adjacent to ∠AOE?

(iii) Do ∠COE and ∠EOD form a linear pair?

(iv) Are ∠BOD and ∠DOA supplementary?

(v) Is ∠1 vertically opposite to ∠4?

(vi) What is the vertically opposite angle of ∠5?

Q10) Indicate which pairs of angles are:

(i) Vertically opposite angles.

(ii) Linear pairs.

Q11) In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Q12) Find the values of the angles x, y, and z in each of the following:

Q13)

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is ______.

(iii) Two angles forming a linear pair are _______________.

(iv) If two adjacent angles are supplementary, they form a ___________.

(v) If two lines intersect at a point, then the vertically opposite angles are always

_.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are

acute angles, then the other pair of vertically opposite angles are __________.

Q14)

In the adjoining figure, name the following pairs of angles.

(i) Obtuse vertically opposite angles

(ii) Adjacent complementary angles

(iii) Equal supplementary angles

(iv) Unequal supplementary angles

(v) Adjacent angles that do not form a linear pair

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NCERT Solutions - Mathematics, Class 7

Integers

Fractions and Decimals

Data Handling

Simple Equations

Lines and Angles

The Triangle and its properties

Congruence of Triangles

Comparing Quantities

Rational Numbers

Perimeter and Area

Algebraic Expressions

Exponents and Powers

Symmetry

Visualising Solid Shapes

Exercise 5.1

Exercise 5.2

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