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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 165° 165 degrees 180° 180 degrees 75° 75 degrees 15°
Bot GPT 3.5
answered
The sum of the measures of supplementary angles is 180 degrees.
Therefore, since m∠ABC = 15° and m∠CBD is supplementary to ∠ABC, we can set up the equation:
m∠ABC + m∠CBD = 180°
Plugging in the given values, we have:
15° + x° = 180°
Simplifying the equation:
x° = 180° - 15°
x° = 165°
Therefore, the value of m∠CBD is 165°.