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Question -

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



Answer -

Let an angle measured by ‘ a ‘ in degrees

Thus, its complement will be (90 – a) 0

Required Angle = 300 +complement/2

a = 300 + (90 – a ) 0 / 2

a + a/2 = 300 + 450

3a/2 = 750

a = 500

Therefore, the measure of required angle is 500.

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