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In the Below Fig, If L || M || N and `∠`1 = 60°, Find `∠`2. - Mathematics

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In the below fig, if l || m || n and `∠`1 = 60°, find `∠`2.

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Solution

Since l parallel to m and 𝑝 is the transversal

∴Given: l || m || n, `∠`1 = 60°

To find `∠`2

`∠`1 = `∠`3 = 60°                 [Corresponding angles]

Now,

`∠`3 and `∠`4 are linear pair of angles

`∠`3 + `∠`4 = 180°

60° + `∠`4 = 180°

`∠`4 = 180° - 60°

`∠`4 = 120°

Also, m || n and P is the transversal

∴`∠`4 = Ð2 =120°                        [Alternative interior angle]

Hence `∠`2 =120°

Concept: Parallel Lines and a Transversal
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 10 | Page 47

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