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Question
The two adjacent angles of a parallelogram are in the ratio 3 : 7. The largest angle of the parallelogram is ______.
Options
126°
140°
120°
98°
MCQ
Fill in the Blanks
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Solution
The two adjacent angles of a parallelogram are in the ratio 3 : 7. The largest angle of the parallelogram is 126°.
Explanation:
Let the two adjacent angles be 3x and 7x.
Adjacent angles in a parallelogram are supplementary.
So, 3x + 7x = 180°
⇒ 10x = 180°
⇒ x = 18°
The largest angle = 7x
= 7 × 18°
= 126°
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