Question

. If ABCD is a parallelogram show that angle ADC = angle ABC​

Answer 1

Aηѕωєя :-❤

Given:-

ABCD is a parallelogram

To prove:-

∠ACD=∠ABC

by Construction:-

Join AC

Proof:-

In ∆ADC & ∆ABC

AC=AC(common)

AD=AB(opposite sides of parallelogram are equal)

DA=BC(opposite sides of parallelogram are equal)

∆ABC≅∆ABC(by SSS)

∠ACD=∠ABC(by cpct)

Hence proved