Question

In given figure, If $\angle A=\angle C$, then prove that $△AOB\sim △COD$.

Answer 1

In triangles AOB and COD, we have

$\angle A=\angle C$ [Given]

and, $\angle 1=\angle 2$ [Vertically opposite angles]

Therefore, by AA-criterion of similarity, we have

$△AOB\sim △COD$ $\left[Henceproved\right]$