In the adjoining figure, is a parallelogram in which
Calculate
and
In ABCD, ∠A = 72°
We know that opposite angles of a parallelogram are equal.
Hence, ∠A = ∠C and ∠B = ∠D
∴ ∠C = 72°
∠A and ∠B are adjacent angles.
∴ ∠A + ∠B = 180°
∠B = 180°° − ∠A
∠B = 180° − 72° = 108°
∴ ∠B = ∠D = 108°
Hence, ∠B = ∠D = 108° and ∠C = 72°