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?
A. 75°
B. 165°
C. 15°
D. 180°
Supplementary angles add up to 180°. Since m ABC = 15° and m ABC and m CBD are supplementary, we can write the equation:
m ABC + m CBD = 180°
15° + m CBD = 180°
Subtracting 15° from both sides, we get:
m CBD = 165°
So, the value of m CBD is 165°.
Therefore, the answer is option B) 165°.