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 mLCBD? (1 point)
• 75°
• 15°
• 165°
180°
If two angles are supplementary, it means that the sum of their measures equals 180°. The problem states that angle ABC has a measure of 15°, and angle CBD has a measure of x°.
Since the angles are supplementary, we can set up the equation:
mABC + mCBD = 180°
15° + x° = 180°
Now, we can solve for x:
x° = 180° - 15°
x° = 165°
Therefore, the value of mLCBD is 165°. Thus, the correct answer is:
• 165°