Question

Find the measure of an angle which is half of its complement​

Answer 1

Let the angle which is half of its complement is x

As, we know that, if two angles are complementary

then their sum must be equal to 90⁰

So, if x is the angle then its complementary angle

will be 90°

- X

But it is given that the required angle is half of its

complimentary, so

90⁰- X

but it is given that the required angle is half to its complementary angle so,

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

Multiply both the side by 3, we obtain

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

$x = {30}^{o}$

hence the required angle is 30°.