Question

An angle is equal to one fifth of its complement. find the measure of the angles

Answer 1

Hi friend!!

Let the angle be x

Then it's complement will 90-x

Given, An angle is equal to one fifth of its complement.

→x=(90-x)/5

→5x=90-x

6x=90

x=15

And it's complement is 75.

I hope this will help you

Answer 2

Answer:

Angles are 75° and 15°.

Step-by-step explanation:

Let x be the the complement angle.

Angle = $\frac{1}{5}\times x$

We know that sum of the angle and its complement is 90°

According to the Question,

$x+\frac{1}{5}\times x=90$

$x+\frac{x}{5}=90$

$\frac{5x+x}{5}=90$

$6x=90\times5$

$6x=450$

$6x=450$

$x=\frac{450}{6}$

$x=75$

Therefore, Angles are 75° and 15°.