Question 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 165° 165 degrees 15° 15 degrees 75°

Answer 1

Two angles are supplementary if their measures add up to 180°. In this problem, we are given that m∠ABC = 15° and m∠CBD = x°.

Since ∠ABC and ∠CBD are supplementary angles, we can set up the equation:

m∠ABC + m∠CBD = 180°

Substituting the given values, we have:

15° + x° = 180°

Now, we can solve for x:

x° = 180° - 15°

x° = 165°

Therefore, the value of m∠CBD is 165°.