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