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 ?(1 point) Responses 180° 180 degrees 15° 15 degrees 165° 165 degrees 75°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees. In this case, we have:

m∠ABC + m∠CBD = 180°

Given that m∠ABC = 15°, we can substitute this value into the equation:

15° + m∠CBD = 180°

To find m∠CBD, we can subtract 15° from both sides:

m∠CBD = 180° - 15°
m∠CBD = 165°

Thus, the value of m∠CBD is 165°.