The diagram shows parallelogram ABCD. What is the measure of angle A if angle D measures 117°?
question-img
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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