Two angles are supplementary and have measures m<ABC =15 and m<CBD=x. What is the value of m<CBD?
Since two angles are supplementary, their measures add up to 180 degrees. So, we have:
m<ABC + m<CBD = 180
Substituting the given values, we get:
15 + x = 180
Simplifying the equation, we find:
x = 180 - 15
x = 165
Therefore, the value of m<CBD is 165 degrees.