Question

Find the angle which is 4 times its complement​

Answer 1

Answer:

The complement of the angle x is given by (90 - x). Hence, the angle which is four times its complement is 72 degrees.

Answer 2

Solution:-

Complement of any angle is 90°-x°

here x= given angle

let assume the required angle be n

than complement of angle- 90°-n°

Also it is given that n is four times it complement.

hence

$\mathtt{n = 4({90}^{o} - {n}^{o} )}$

$\mathtt{5n = {360}^{o} }$

$\mathtt{n = \frac{ \: \: {360}^{o}}{5} }$

$\mathtt{n = {72}^{o} }$

$\LARGE \red{\boxed{ \mathtt{answer = {72}^{o} } }}$