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)

Answer 1

If two angles are supplementary, then the sum of their measures is 180 degrees.

Given that m∠ABC = 15°, we can use the fact that the sum of the measures of two angles is 180 degrees to solve for m∠CBD.

m∠ABC + m∠CBD = 180°

Substituting the given value, we get:

15° + x° = 180°

Simplifying the equation, we have:

x° = 180° - 15°

x° = 165°

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