Question
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measures of the angles are
a) 72∘,108∘
b) 36∘,54∘
c) 80∘,120∘
d) 96∘,144∘
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measures of the angles are
a) 72∘,108∘
b) 36∘,54∘
c) 80∘,120∘
d) 96∘,144∘
Answer:
:
Given,two adjacent angles of a parallelogram are in the ratio 2 : 3
Let the angles be 2x and 3x.
Then,
2x+3x=180∘ [∵ adjacent angles of a parallelogram are supplementary]
⇒5x=180∘⇒x=36∘
Hence, the measures of the angles are 2x=2×36∘=72∘ and 3x=3×36∘=108∘.
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:
Given,two adjacent angles of a parallelogram are in the ratio 2 : 3
Let the angles be 2x and 3x.
Then,
2x+3x=180∘ [∵ adjacent angles of a parallelogram are supplementary]
⇒5x=180∘⇒x=36∘
Hence, the measures of the angles are 2x=2×36∘=72∘ and 3x=3×36∘=108∘.
Was this answer helpful ?
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