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Question:

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

Solution:

Let the parallelogram be ▱ABCD.
Sum of adjacent angles=180°
∠A+∠B=180°
2∠A=180° (Given ∠A=∠B)
∠A=90°
∠A=∠B=90°
∠B=∠D=90°
All angles are equal to 90°