NCERT Class 7 Mathematics Solutions: Chapter 5 – Linear and Angles Exercise 5.2 Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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1. In the given figure, the arms of two angles are parallel. If , then find:

(i)

(ii)

The Arms of Two Angles Are Parallel

Answer:

Given,

is a transversal line and

[Corresponding angles]

… eq (1)

Given,

and is a transversal line and

[Corresponding angles]

[From equation (i) ]

2. In the given figures below, decide whether is parallel to .

Two Parallel Line L and M
2 Parallel Line Are Given
Parallel Line L and M Are Shown in Figure
Showing Figure of Parallel Line L and M

Answer:

(i)

because sum of interior opposite angles should be .

(ii)

because sum of angles does not obey the property of parallel lines.

(iii)

due to supplementary angles property of parallel lines.

(iv)

is not parallel to because sum of angles does not obey the property of parallel lines.