Question

The angles with measures x and 4x are complementary angles. which is the value of x?

Answer 1

Complementary Angles-either of two angles whose sum is 90°.
x+4x=90
5x=90
x=18

Answer 2

x=18 degrees

Explanation:

Hello

by definition, two angles are called complementary angles, if the sum of their degree measures is 90. Each angle is called complement of the other.

A = angle 1=x

B=angle 2 =4x

A and B are complementary angles,hence

A+B=90

replacing

`x+4x=90\\\\5x =90\\x=(90)/(5) \\x=18\ degrees`

A=18 degrees

B=4*x

B=72 degrees

x=18 degrees