Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m∠ABC=15° and m∠CBD=x°. What is the value of m∠CBD m ∠ C B D ?(1 point)
The sum of the measures of two supplementary angles is always 180 degrees. Therefore, we can set up the equation:
m∠ABC + m∠CBD = 180
Substituting the given measures:
15 + x = 180
Simplifying the equation:
x = 180 - 15
x = 165
Therefore, the value of m∠CBD is 165 degrees.