Question

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°

Answer 1

[AI-generated answer — Bot GPT 3.5]

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°.