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