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Question -

In figure, if l||m,n || p and ∠1 = 85°, find ∠2.



Answer -

Given: ∠1 = 85°

As we know, when a line cuts the parallel lines, the pair ofalternate interior angles are equal.

=> ∠1 = ∠3 = 85°

Again, co-interior angles are supplementary, so

∠2 + ∠3 = 180°

∠2 + 55°=180°

∠2 =180° – 85°

∠2 = 95°

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