Question

In the adjoining figure ABCD and AEFG are each a parallelogram . If C =55 degree what is the measure of F? ​

Answer 1

Answer:

∠F=55°

Step-by-step explanation:

ABCD and AEFG are two parallelograms sharing two sides AD (or AG) and AE (or AE) and the included angle.

∠C=55°

To find out  =∠F

Solution

We have

∠F=∠A          (opposite angles of a parallelogram) . . . . . .  ( i )

Again ∠A=∠C    (opposite angles of a parallelogram . . . . . .(ii)

∴ ∠F=∠C   . . . . .  [From (i) and (ii)]

And ∠C=55°  . . . . . .  (given)

⇒∠F=55°