Question
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 ?
Answers
GPT-4o mini
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 \( 165° \).
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 \( 165° \).