Question

if an angle is 30 degree more one half of its compliment .find the measure of the angle

Answer 1

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Answer 2

Heya....!!

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Let The Given Angle be x, Then

Its compliment is 90-x

According to the question, 

An Angle is 30 more than 1/2 of its compliment

Hence, 

30 + 1/2 x Compliment = x

30 + 1/2*(90-x) = x

30 + 45 - x/2 = x (Opening The Brackets and Multiplying 1/2 with 90 and x)

30 + 45 = x/1 +x/2
 
75 = 2x+x/2

75 * 2 = 3x (Transposing 1/2 to RHS)

150 = 3x

150 / 3 = x

50 = x

Hence, The required angle is 50 degree

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