Question

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

Answer 1

Hey friend!

Let one angle be x°
Other angle = x/5°

x+x/5=90
=>(5x+x)/5=90
=>6x/5=90
=>6x=450
=>x=75

One angle =75°
Other angle=15°

Thank you!

Answer 2

Answer:

Angles are 75° and 15°.

Step-by-step explanation:

Let x be the the complement angle.

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

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°.