Question

Write the angle which is one fifth of its complement

Answer 1

Let the angle be x. 
Therefore it's complement=(90-x) 
Now, according to the question, 
x=1/5(90-x) 
or x=18-x/5 
or x+x/5=18 
or 6x/5=18 
or 6x=90 
Therefore, x=15 
Hence the measure of the required angle is 15.

Answer 2

Answer:

Angle is 15°.

Step-by-step explanation:

Let x be the the complement angle.

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

According to the Question,

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

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

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

$6x=90\times5$

$6x=450$

$6x=450$

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

$x=75$

Angles = $\frac{75}{x}=15^{\circ}$

Therefore, Required Angle is 15°