Question

In the given figure, if $\angle 1=\angle 2$ and $\angle 3=\angle 4$, then prove that $BC=CD$.

Answer 1

In triangle ADC and CBD we can see that $\angle 1=\angle 2$ and $\angle 3=\angle 4$ also we have AC as common side .So by ANGLE-SIDE-ANGLE same we can say that these two triangle are congruent.

hence other side and must also be of same dimension.

so it prooves $AD=BC$