Question

In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.

Answer 1

ABCD and AEFG are two parallelograms as shown below:

Since ABCD is a parallelogram, with  ∠C = 58°

We know that the opposite angles of a parallelogram are equal.

Therefore,

∠A = ∠C

∠A = 58° 

Similarly, AEFG is a parallelogram, with ∠A = 58°

We know that the opposite angles of a parallelogram are equal.

Therefore,

∠F = ∠C

∠F = 58° 

Hence, the required measure for  ∠F is 58°.