Question

in given figure ab=cd and angle abc= aangle BCD. prove that ac=bd and be=ce​

Answer 1

Angle ACB = Angle BDA (given)

Second. Angle ADC = Angle BCD (given)

Third. CD = CD (common)

So triangle ACD is congruent to BDC by AAS congruency rule

1.) AD=BC (CPCT)

2.) Angle A = Angle B (CPCT)