#### Question

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

#### Solution

Sum of adjacent angles = 180°

∠A + ∠B = 180º

2∠A = 180º (∠A = ∠B)

∠A = 90º

∠B = ∠A = 90º

∠C = ∠A = 90º (Opposite angles)

∠D = ∠B = 90º (Opposite angles)

Thus, each angle of the parallelogram measures 90º.

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Solution Two Adjacent Angles of a Parallelogram Have Equal Measure. Find the Measure of Each of the Angles of the Parallelogram. Concept: Kinds of Quadrilaterals - Elements of a Parallelogram.