Question

Find the measure of the angel which is equal to one half of its complement.

Answer 1

$\huge\frak{\underline{\underline{Question:}}}$

◾️Find the measure of the angel which is equal to one half of its complement.

$\huge\frak{\underline{\underline{Answer:}}}$

$\huge{\boxed{30°}}$

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$\large\bold{\underline{Explanation:}}$

Let x be that angle.

It's Complement is (90°- x)

Equation: $\implies$ $\large\bold{x={\frac{90-x}{2}}}$

$\implies$$\large\bold{2x\:=\:90-x}$

$\implies$ $\large\bold{3x\:=90}$

$\implies$ $\large\bold{x\:=\:30°}$

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Answer 2

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To find the measure of angle which is equal to one half of it's Complement.

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$\huge{\fbox{\fbox{\bigstar{\mathfrak{\blue{30°}}}}}}$

➨ Let ' x ' be that angle whose angle I equal to one of it's half of it's complement.

➨ We know that complementary angle measures 90°.

➨ So , here we are going to take angle (90°-X)

➨ Eqn we get is as follow

$x = \frac{90 - x}{2}$

$2x = 90 - x$

$2x + x = 90$

$3x = 90$

$x = \frac{90}{3}$

$x = 30$

So the value we get is 30°