Question:
In a parallelogram ABCD, ∠D = 135°. Determine the measures of ∠A and ∠B.
Solution:
In a parallelogram ABCD
Adjacent angles are supplementary
So, ∠D + ∠C = 180°
∠C = 180° − 135°
∠C = 45°
In a parallelogram opposite sides are equal.
∠A = ∠C = 45°
∠B = ∠D = 135°