In figure, p is a transversal to lines m and n, ∠1 = 60° and Ð 2 =
of a right angle. Prove that m || n.
∠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.
∠1 = ∠3(Vertically opposite angles)
∠2 =
=
Since ∠2 and ∠3 are a pair of corresponding angles which are equal, m||n.
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of a right angle.