Question

the difference between an angle and half of its complement is 30° find the angle​

Answer 1

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Answer 2

$\tex\bigstar\:\sf{ANSWER}\:\bigstar$

The difference between an angle and half of its compliment is given as 30°

Compliment angles means it's sum is 90°.

Let the angle be X.

According to the given condition,

$\tex\implies\bf{ X\:-\frac{ (90-X)}{2}\:=\:30}$

$\tex\implies\bf{2\:X\:-\:(90-X)\:=\: 60}$

$\tex\implies\bf{2X - 90+ X= 60}$

$\tex\implies\bf{3X- 90 = 60}$

$\tex\implies\bf{3X= 60+90}$

$\tex\implies\bf{3X= 150}$

$\tex\implies\bf{X = 50}$

$\tex\huge\boxed{The\:required \:angle \:is\:50}$

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