Question

What is the measure of an angle if it is 120 less than 5 times its own complement

Answer 1

Answer:

The measure of the angle is 55º.

Step-by-step explanation:

Complement of angle x:

If two angles are complementary, the sum of their measures is of 90º. Thus, the complement of an angle x is 90 - x.

In this question:

Angle is 120 less than 5 times its own complement, so:

$x = 5(90 - x) - 120$

We have to solve for x

$x = 450 - 5x - 120$

$6x = 330$

$x = \frac{330}{6}$

$x = 55$

The measure of the angle is 55º.