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)
Since two angles that are supplementary add up to 180 degrees, we can write the equation:
m∠ABC + m∠CBD = 180
Substituting the given values:
15° + x° = 180
Adding 15 to both sides:
x° = 180 - 15
x° = 165
Therefore, the value of m∠CBD is 165 degrees.