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Question
Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are ______.
Options
30°, 150°, 30°, 150°
85°, 95°, 85°, 95°
45°, 135°, 45°, 135°
30°, 180°, 30°, 180°
Solution
Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are 30°, 150°, 30°, 150°.
Explanation:
Let the angles be x and 5x
The adjacent angles of a parallelogram are supplementary
x + 5x = 180°
6x = 180°
⇒ x = 30°
So the angles are 30°, 150°, 30°, 150°
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