In a parallelogram ABCD, ∠D = 135°.
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°

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