In Fig.8.2, ABCD and AEFG are two parallelograms. If C = 55°, determine F.
Given: C = 55°
Opposite angles of a parallelogram are equal
∵ ABCD is a parallelogram
∴ ∠A = ∠C = 55°
Also,
∵ AEFG is a parallelogram
∴ ∠F = ∠A = 55°
Hence, ∠F = 55°.