Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures and angle ABC equals 15° and M angle CBD equals X what is the value of M angle CBD is it 15° 165°, 75° or 180°.
By definition, supplementary angles are two angles whose measures add up to 180°.
Given that the measure of angle ABC is 15°, and the two angles are supplementary, we can set up an equation:
Measure of angle ABC + Measure of angle CBD = 180°
Substituting in the given values, we have:
15° + X = 180°
Now, we can solve for X by subtracting 15° from both sides of the equation:
X = 180° - 15°
Simplifying,
X = 165°
Therefore, the value of the measure of angle CBD, denoted as M angle CBD, is 165°.