Question

in an isoceles trapezium ,show that the opposite angles are supplementary​

Answer 1

Given -

1. ABCD is isosceles trapezium

2. AD = BC

To Prove -

1. ∠A + ∠C = 180°

2. ∠B + ∠D = 180°

Proof -

As AB || CD.

=> ∠A + ∠D = 180°

As, ∠A = ∠B (Isosceles Trapezium)

=> ∠B + ∠D = 180°

Similarly,

=> ∠A + ∠C = 180°

Hence, Proved.