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
180°
180 degrees
75°
75 degrees
165°
To find the value of m∠CBD, we need to use the property of supplementary angles.
Supplementary angles add up to 180 degrees.
Given that m∠ABC = 15°, we know that m∠CBD + m∠ABC = 180°.
Substituting the given value, we have:
x° + 15° = 180°
Subtracting 15° from both sides of the equation:
x° = 180° - 15°
Simplifying:
x° = 165°
Therefore, the value of m∠CBD is 165°.