Question

what is the sum of any pair of consecutive angles of a parellelogram​

Answer 1

Answer:

We know that interior angles on the same side of a transversal are supplementary. Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠A + ∠B = 180°. Therefore, the sum of any two adjacent angles of a parallelogram is equal to 180°.

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Answer 2

Consecutive Angles of a Parallelogram

We know that interior angles on the same side of a transversal are supplementary. Similarly, ∠B + ∠C

We know that interior angles on the same side of a transversal are supplementary. Similarly, ∠B + ∠C 180°, ∠C + ∠D = 180° and ∠A + ∠B = 180°. Therefore, the sum of any two adjacent angles of a parallelogram is equal to 180°.

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