Question

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

Answer 1

The measure of the angle is 55º.

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 = (330)/(6)`

`x = 55`

The measure of the angle is 55º.