Question

Question 10
In figure , ABCD and AEFG are two parallelograms. If $\angle C={55}^{\circ }$, then determine $\angle F$.

Answer 1

We have, ABCD and AEFG are two parallelograms and $\angle C={55}^{\circ }$ . Since ABCD is a parallelogram, then opposite angles of a parallelogram are equal.

$\angle A=\angle C={55}^{\circ }$ …(i)

Also, AEFG is a parallelogram.

$\angle A=\angle F={55}^{\circ }$ [From Eq.(i)]