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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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Answer:

Step-by-step explanation:

1.same side interior

2.parallel

3.supplementary

By definition of a parallelogram, AD is a same side interior transversal between these sides.

What is a parallelogram?

A parallelogram simply means a quadrilateral that has two pairs of parallel sides. By definition of a parallelogram, AD is a same side interior transversal between these sides.

Also, angle A and D are parallel 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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