Question

Prove that the angles of a IIgram are supplementry

Answer 1

let ABCD be a parallelogram.

Then AD // BC and AB is a transversal.

Therefore , A+B = 180°(interior angle on the same side of transversal are supplementary).

Similarly angleB + angleC = 180°,angleC + angleD = 180°, angleD + angleA = 180°.

Therefore the sum of any two adjacent angles of parallelogram is 180°.

Hence any 2 angles of a parallelogram are supplementry.

Answer 2

hence two program are supplementey