In Fig., if AB || CD, then,(a) ∠ 2 = ∠ 3 (b) ∠ 1 = ∠ 4(c) ∠ – InterviewSolution

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1.

In Fig., if AB || CD, then,(a) ∠ 2 = ∠ 3 (b) ∠ 1 = ∠ 4(c) ∠ 4 = ∠ 1 + ∠ 2 (d) ∠ 1 + ∠ 2 = ∠ 3 + ∠ 4

Answer»

(d) ∠ 1 + ∠ 2 = ∠ 3 + ∠ 4

As we know that, exterior angle is equal to the sum of opposite interior angles

Consider, Δ ABC

As BC is extended

∠A + ∠B = ∠3 + ∠4

Therefore, ∠1 + ∠2 = ∠3 + ∠4

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