Question

An angle measures 152° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Two supplementary angles when added together need to equal 180 degrees.

Let the first angle = X

The second angle would then be X - 152

Add them together to equal 180:

X + X - 152 = 180

Simplify:

2X -152 = 180

Add 152 to each side:

2X = 332

Divide both sides by 2:

X = 332 / 2

X = 166

The first angle = X = 166 degrees.

The second angle = X - 152 = 166 - 152 = 14 degrees.

The angles are 166 and 14