Question

You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of an angle and its supplement as x° and (180 − x)°. Use these expressions to find the measures of the angles described.

The measure of an angle is equal to twice the measure of its supplement.

The measure of the angle is
° and the measure of its supplement is
°.

Answer 1

The answer for this is 120

Answer 2

120;60

Explanation:

The measure of an angle is equal to twice the measure of its supplement.

This means that x = 2(180-x)

Simplify

x = 360 -2x

Isolate the variable

3x = 360

x = 120

This makes its supplement 60