Question:
In figure, ABCD and AEFG are two parallelograms. If ∠C = 55°, then determine ∠F.
Solution:
We have, ABCD and AEFG are two parallelograms and ∠C = 55°. Since, ABCD is a parallelogram, then opposite angles of a parallelogram are
equal.
∠A = ∠C = 55° ...(i)
Also, AEFG is a parallelogram.
∴ ∠A=∠F = 55° [from Eq. (i)]