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)
Responses
180°
180 degrees
75°
75 degrees
165°
165 degrees
15°
please answer correctly
Since the two angles are supplementary, their measures add up to 180 degrees.
Given that m∠ABC = 15°, we can find the measure of angle CBD using the equation:
m∠ABC + m∠CBD = 180°
Substituting the given values:
15° + x° = 180°
We can solve this equation to find the value of x:
x° = 180° - 15°
x° = 165°
Therefore, the value of m∠CBD is 165°.