In Fig.6.8, x = y and a = b. Prove that l || n

Solution:

Given, x = y and a = b

We have to prove that l || n

x = y implies that the corresponding angles are equal.

Therefore, the lines l and m are parallel.

a = b implies that the corresponding angles are equal.

Therefore, the lines m and n are parallel.

We observe that l || m and m || n

Therefore, l || m || n

✦ Try This: If ∠1=40° what are measures of ∠2 and ∠3?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6

NCERT Exemplar Class 9 Maths Exercise 6.3 Sample Problem 2

In Fig.6.8, x = y and a = b. Prove that l || n

Summary:

Two or more lines that lie in the same plane and never intersect each other are known as parallel lines. In Fig.6.8, x = y and a = b. It is proven that l || n as the corresponding angles are equal

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