alleryIn a parallelogram, two adjacent angles are in the ratio 3 : 2. The four angles of the parallelogram are:
A108°, 72°, 108°, 72°
B60°, 120°, 60°, 120°
C90°, 90°, 90°, 90°
D100°, 80°, 100°, 80°
Answer & Solution
Correct answer: A. 108°, 72°, 108°, 72°
Adjacent angles are supplementary, so the two angles sum to 180°.
**Let them be 3x and 2x:** 3x + 2x = 180° → 5x = 180° → x = 36°.
So the angles are 108° and 72°.
By the opposite-angles-equal property, the other two angles are again 108° and 72°.
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