Question

In the figure, ABCD and AEFG are two parallelograms. If $\angle C={58}^{\circ }$, Find $\angle F$.

Answer 1

In the figure, ABCD and AEFG are two parallelograms $\angle C={58}^{\circ }$

$\because DC||GFandCB||FE$ (Sides of || gms)

$\angle C=\angle Afrom||gmABCD$

$\angle F=\angle Afrom||gmAEGF$

$\therefore \angle C=\angle F$

But $\angle C={58}^{\circ }$

$\therefore \angle F={58}^{\circ }$