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
By definition, supplementary angles are two angles that add up to 180 degrees. In this problem, we are given that ∠ABC has a measure of 15°. Since ∠ABC and ∠CBD are supplementary, we can set up the equation 15° + x° = 180°. By solving for x, we find that x = 165°. Therefore, the value of ∠CBD is 165°.
