Question

Find the angle which is four times it is complement​

Answer 1

Answer

72°

Step-by-step explanation:

let the complement be x

so, the angle would be 4x

As they are complementry angles,

x+4x=90°

5x=90°

x=90/5

x=18°

4x=4(18)

4x=72°

Answer 2

Let the required angle be x.

then, its complement will be (90 - x)° .

A/Q :-

$\: \: \: \: \: \: \: \: \: \: x = 4(90 - x) \\ \: \: \: \: \: \: \: \: \: \: x = 360 - 4x \\ x + 4 x= 360 \\ \: \: \: \: \: \: \: \: 5x = 360 \\ \: \: \: \: \: \: \: \: \: \: x = \frac{360}{5} = 72°$

Hence,

72° is that angle which is four times its complement whose measure is 18° .