The diagram shows parallelogram ABCD.
What is the measure of angle A if angle D measures 117°?
63°
180°
117°
297°
Detailed Explanation
In a parallelogram, opposite angles are equal, thus:
∠ A = ∠ C
∠ B = ∠ D
Also, adjacent angles are supplementary, thus:
∠ B + ∠ C = 180
∠ A + ∠ D = 180
Since it is given that ∠ D = 117:
∠ A = 180 - 117
∠ A = 63º
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