Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m<ABC =15 and m<CBD?

Answer 1

Two angles are supplementary if the sum of their measures is equal to 180 degrees.

Given:

• m∠ABC = 15 degrees
• m∠CBD = x (the measure we want to find)

According to the property of supplementary angles, we have:

m∠ABC + m∠CBD = 180 degrees

Substituting the known value:

15 degrees + m∠CBD = 180 degrees

Now, to find m∠CBD, we subtract 15 degrees from both sides:

m∠CBD = 180 degrees - 15 degrees m∠CBD = 165 degrees

Therefore, the measure of angle CBD is 165 degrees.