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Answer 1

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∠ a≅ ∠ b and ∠ x≅ ∠ y

To find: line L ∥ line N

∠ a≅ ∠ b (given)

But they form a pair of corresponding angles which are congruent

Line L ∥ line M …………... (1)

∠ x≅ ∠ y (given)

But they form a pair of alternative angle that are congruent

Line M ∥ line N (alternative angle) ………… (2)

Equation (1) and equation (2)

Line L ∥ line N (hence proved).

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