Q. 444.5( 2 Votes )

# In the given figure, *p* is a transversal to lines *m *and *n*, ∠ 2 = 120° and ∠ 5 = 60° . Prove that *m || n.*

Answer :

m and n are two lines cut by a transversal

*l*. ∠ 2 = 120° ∠ 2 = ∠ 4 (Vertically opposite angles are equal). ∴ ∠ 4 = 120° Adjacent angles, ∠ 3, ∠ 4 form a linear pair. ⇒ ∠ 3 + ∠ 4 = 180° (Linear Pair Axiom) ∴ ∠ 3 = 180° - ∠ 4 = 180° - 120° ( from (1) ) = 60° But, ∠ 5 = 60° (given) ∴ ∠ 3 = ∠ 5 (Alternate interior angles are equal) ∴ m || n.Rate this question :

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