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Q.

If two supplementary angles are in the ratio 2:7, then determine the angles.


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a

35∘,145∘

b

70∘,110∘

c

40∘,140∘

d

50∘,130∘  

answer is C.

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Detailed Solution

Given, ratio is 2:7.
The sum of supplementary angles is 180∘.
Let the angles be 2x and 7x.
We know that the sum of the supplementary angles is 180,
2x+7x=180 ⇒ 9x=180
⇒ x=20
⇒ 2x=2(20)=40
⇒ 7x=7(20)=140 Hence the angles are 40∘, 140∘. Hence, the correct option is 3.
 
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If two supplementary angles are in the ratio 2:7, then determine the angles.