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
Therefore, Given: l ∥ m ∥ n
∠1 = 60°
To find ∠2
∠1 = ∠3 = 60° [Corresponding angles]
Now, ∠3and∠4 are linear pair of angles
∠3 + ∠4 = 180°
60 + ∠4 = 180
∠4 = 180 - 60
⟹ 120
Also, m ∥ n and P is the transversal
Therefore ∠4 = ∠2 = 120 (Alternative interior angle]
Hence 2∠2 = 120
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