Question

If an angle is 30degree more than one half of its complement ,find the measure of the angle ?


In my book they have given answer as 50 degree how to solve

Answer 1

Let the angle be x

Complement of x is (90° – x)

an angle is 30 degree more than one half of its complement  [Given]

ATP

∴ x = 1/2 × (90° – x) + 30°

⇒ 2x = 90° – x + 60°   [Taking LCM =2]

⇒ 2x + x =90° + 60

⇒ 3x = 150°

∴ x = 50° ANS

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