Question

In the above right sided figure, ABCD and AEFG are two parallelograms. If $\angle C={55}^0$, determine $\angle F$.

Answer 1

We know that opposite angle of parallelogram are equal.

In parallelogram $ABCD$, we have

$\angle A=\angle C$

But, $\angle C={55}^0$ [Given]

$\therefore \angle A={55}^0$

Now, in parallelogram $AEFG$ we have

$\angle F=\angle A={55}^0$

Hence, $\angle F={55}^0$