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Question
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are ______.
Options
72°, 108°
36°, 54°
80°, 120°
96°, 144°
Solution
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are 72°, 108°.
Explanation:
Let the angles be 2x, 3x
The adjacent angles of a parallelogram are always supplementary and the opposite angles are always equal
2x + 3x = 180°
⇒ 5x = 180°
⇒ x = 36°
So, the angles are
2 × 36° = 72°
3 × 36° = 108°
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