Question

Show that the adjacent angles of a parallelogram are supplementary.​

Answer 1

Answer:

Consecutive Angles of a Parallelogram

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°. ... Hence, it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary.

Answer 2

Answer:

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.