Question

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Answer 1

Answer:

1. Write down each pair of adjacent angles shown in fig. 13.

Solution:

The angles that have common vertex and a common arm are known as adjacent angles

Therefore the adjacent angles in given figure are:

∠DOC and ∠BOC

∠COB and ∠BOA

2. In Fig. 14, name all the pairs of adjacent angles.

RD Sharma Solutions for class 7 Maths Chapter 14 Lines and Angles Image 2

Solution:

The angles that have common vertex and a common arm are known as adjacent angles.

In fig (i), the adjacent angles are

∠EBA and ∠ABC

∠ACB and ∠BCF

∠BAC and ∠CAD

In fig (ii), the adjacent angles are

∠BAD and ∠DAC

∠BDA and ∠CDA

3. In fig. 15, write down

(i) Each linear pair

(ii) Each pair of vertically opposite angles.

RD Sharma Solutions for class 7 Maths Chapter 14 Lines and Angles Image 3

Solution:

(i) The two adjacent angles are said to form a linear pair of angles if their non – common arms are two opposite rays.

∠1 and ∠3

∠1 and ∠2

∠4 and ∠3

∠4 and ∠2

∠5 and ∠6

∠5 and ∠7

∠6 and ∠8

∠7 and ∠8

(ii) The two angles formed by two intersecting lines and have no common arms are called vertically opposite angles.

∠1 and ∠4

∠2 and ∠3

∠5 and ∠8

∠6 and ∠7

4. Are the angles 1 and 2 given in Fig. 16 adjacent angles?  

Solution:

No, because they don’t have common vertex.

5. Find the complement of each of the following angles:

(i) 35o

(ii) 72o

(iii) 45o

(iv) 85o

Solution:

(i) The two angles are said to be complementary angles if the sum of those angles is 90o

Complementary angle for given angle is

90o – 35o = 55o

(ii) The two angles are said to be complementary angles if the sum of those angles is 90o

Complementary angle for given angle is

900 – 72o = 18o

(iii) The two angles are said to be complementary angles if the sum of those angles is 90o

Complementary angle for given angle is

90o – 45o = 45o

(iv) The two angles are said to be complementary angles if the sum of those angles is 90o

Complementary angle for given angle is

90o – 85o = 5o

Step-by-step explanation:

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