Question

the difference between an angle and half of its complement is 30 . Find the angle

Answer 1

Let, the required angle be x.

then, its complement will be (90 - x)° .

A/Q :-

$x - \frac{(90 - x)}{2} = 30 \\ \\ \frac{2x - 90 + x}{2} = 30 \\ \\ \frac{3x - 90}{2} = 30 \\ 3x - 90 = 60 \\ \: \: \: \: \: \: \: \: \: 3x = 60 + 90 \\ \: \: \: \: \: \: \: \: \: 3x = 150 \\ \: \: \: \: \: \: \: \: \: \: \: x = \frac{150}{3} = 50°$

Hence, 50° is the required angle.

Answer 2

Step-by-step explanation:

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