Use facts about supplementary angles to solve the following problem two angles are supplementary and have measures m abc=15 degree and m cbd=x degree what is the value of m cbd
15 degree
75 degree
165 degree
180 degree
The sum of the measures of two supplementary angles is always 180 degrees.
Given that the measure of angle ABC is 15 degrees and the angles are supplementary, we can set up the equation:
15 degrees + m CBD = 180 degrees
Subtracting 15 degrees from both sides of the equation:
m CBD = 180 degrees - 15 degrees
m CBD = 165 degrees
Therefore, the value of m CBD is 165 degrees.