Question

prove that the adjacent angle of a parallelogram are supplementary​

Answer 1

Answer:

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Step-by-step explanation:

Prove that any two adjacent angles of a parallelogram are supplementary. Then, AD ∥ BC and AB is a transversal. Similarly, ∠B + ∠C = 180°, ∠C + ∠D = 180° and ∠D + ∠A = 180°. ... Hence, any two adjacent angles of a parallelogram are supplementary.

Answer 2

Answer:

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Step-by-step explanation:

Let ABCD be a parallelogram.

Then AD∣∣BC & AB is transversal.

Therefore, A+B=180

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[since, sum of the interior angles on the same since of the transversal is 180 ]

Similarly, ∠B+∠C=180

∠C+∠D=180

∠D+∠A=180

Thus, the sum of any 2 adjacent angles of a parallelogram is 180

. Hence any 2 adjacent angles of a parallelogram are supplementary.