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Geometry

Prove that when transversal cuts two parallel straight lines, the pair of interior angles on the same side of the transversal are supplementary.

Solution: Particular enunciation: Let AB||CD and transversal PQ intersects them at E and F respectively. On one side of the transversal PQ the interior angles be ∠BEF and ∠EFD and on the other side the interior angles be ∠AEF and ∠EFC. Proof: ∠EFD = Corresponding angle ∠PEB. Now, ∠BEF + ...

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