Question

write the angle which is one-fifth of its complement 12,13,14, 15​

Answer 1

Question:

Which angle is one-fifth of its complement?

(a) 12

(b) 13

(c) 14

(d) 15

Answer:

Let's assume that the unknown angle is '$x$'

Angle = $x$

Complement = $\frac{1x}{5}$

Sum of both angles = $90$°

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

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

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

$5x+x=90$ × $5$

$6x=450$

$x=450$ ÷ $6$

$x=75$

Thus,

$\frac{75}{5} =15$

Hence,

The angle which is one fifth of its complement is 15°

Hope it helps