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)

Question

Responses

165°
165 degrees

180°
180 degrees

75°
75 degrees

15°
15 degrees

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees. Given that \( m∠ABC = 15° \) and \( m∠CBD = x° \), we can set up the equation:

\[ m∠ABC + m∠CBD = 180° \]

Substituting the known value:

\[ 15° + x° = 180° \]

Now, solve for \( x° \):

\[ x° = 180° - 15° \] \[ x° = 165° \]

Thus, \( m∠CBD = 165° \).

The correct answer is 165°.