Question

In figure, $ABCD$ and $AEFG$ are both parallelograms. If $\angle C={55}^{\circ }$ then find the value of $\angle F$.

Answer 1

We have, $ABCD$ and $AEFG$ are two parallelograms and $\angle C={55}^o$.

Since, $ABCD$ is a parallelogram, then opposite angles of a parallelogram are equal.

$\angle A=\angle C={55}^o...\left(i\right)$

Also, $AEFG$ is a parallelogram.

$\therefore \angle A=\angle F={55}^o$ [from Eq. (i)]