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
15°
15 degrees
165°
165 degrees
75°
75 degrees
180°
By definition, supplementary angles are two angles that add up to 180 degrees.
Given that m∠ABC is 15 degrees, we can write the following equation:
m∠ABC + m∠CBD = 180
Substituting the given value, we have:
15 + x = 180
Simplifying the equation, we find:
x = 165
Therefore, the value of m∠CBD is 165 degrees.