Question

prove that adjacent angle of parallelogram is supplementary ​

Answer 1

Answer:

Let ABCD be a parallelogram.

Then AD∣∣BC & AB is transversal.

Therefore, A+B=180

[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.

hope it helps you

Answer 2

Here is your answer :-

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.

Hope it's helpful to you ❤️