Use facts about supplementary angles to solve the following problem. Two angles are supplementary and have measures m∠ABC=15°

Question

and m∠CBD=x°
. What is the value of m∠CBD
?(1 point)
Responses

15°
15 degrees

180°
180 degrees

165°
165 degrees

75°
75 degrees

Answer 1

Supplementary angles have measures that 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 value of \( m∠ABC \):

\[ 15° + x° = 180° \]

To find \( x \), we can subtract 15° from both sides:

\[ x° = 180° - 15° = 165° \]

So, the value of \( m∠CBD \) is:

\[ \boxed{165°} \]