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Mathematics, 21.07.2020 02:01 ecob35

Given: ABCD is a parallelogram. Prove: ∠A and ∠D are supplementary. Parallelogram A B C D is shown. By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are angles. Because AB and DC are , the same-side interior angles must be by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

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