Question

The supplement of an angle is four times the complement of the angle. Find the angle.
14. The ratio of an angle and its supplement is 5: 1. Find the angle.​

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Answer 1

Let θ be the angle then according to the given condition,

supplement of θ=4(complement of θ)

180∘−θ=4(90∘−θ)

180∘−θ=360∘−4θ

3θ=180∘

θ=180∘3

=60∘

hence the unknown angle , θ=60∘

supplement of 60∘ =180∘−60∘=120∘

complement of 60∘ =90∘−60∘=30∘

Answered By =shreyash. .....

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