Question

in a parallelogram, prove that sum of any two Consecutive angles is 180 ​

Answer 1

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°. Thus, the sum of any two adjacent angles of a parallelogram is 180°.