Question

find the measure of an angle if seven times its complement is 10 less than three times its supplement.
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Answer 1

Let angle =x

Complement of angle =90−x

Supplement of angle =180−x

From question

7(90

∘

−x)=3(180

∘

−x)−10

4x=100

x=25°

Answer 2

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➜ Let angle = x

➜ Complement of angle = 90 − x

➜ Supplement of angle = 180 − x

➜ From question

➜ 7(90°− x) = 3 (180° − x) − 10

➜ 4x = 100

➜ x = 25°

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