Q. 514.0( 6 Votes )

In figure, p is a transversal to lines m and n, ∠1 = 60° and Р2 =  of a right angle. Prove that || n.
           

Answer :

∠1 = 60° (Given)
∠1 = ∠3(Vertically opposite angles)
∠2 = of a right angle (Given)
   = × 90° = 60° ∴ ∠2 = ∠3
Since ∠2 and ∠3 are a pair of corresponding angles which are equal, m||n.

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