Please 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 ?

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees.

Given:

• \( m∠ABC = 15° \)
• \( m∠CBD = x° \)

Since the angles are supplementary, we can write the equation:

\[ m∠ABC + m∠CBD = 180° \]

Substituting the known value of \( m∠ABC \):

\[ 15° + x° = 180° \]

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

\[ x° = 180° - 15° \]

Calculating this gives:

\[ x° = 165° \]

Thus, the value of \( m∠CBD \) is \( 165° \).