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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14. The ratio of an angle and its supplement is 5: 1. Find the angle.
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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∘
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