In a parallelogram ABCD, if ∠B = 135°, determine the measures of its other angles.
Question:

In a parallelogram ABCD, if ∠B = 135°, determine the measures of its other angles.

Solution:

Given ∠B = 135°

ABCD is a parallelogram

∴ ∠A = ∠C, ∠B = ∠D and ∠A + ∠B = 180°

⇒ ∠A + 135° = 180°

⇒ ∠A = 45°

⇒ ∠A = ∠C = 45° and ∠B = ∠C = 135°

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