Solve Equations with Supplementary Angles Quick Check

Question

2 of 52 of 5 Items
Question
Two supplementary angles have the following measures: m∠ABC=135°
and m∠CBD=9x°
. What is the equation to solve for x
?(1 point)
Responses

9x°+135°=180°
9 x plus 135 equals 180

9x°=180°
9 x equals 180

9x°+135°=90°
9 x plus 135 equals 90

9x°−135°=180°
9 x minus 135 equals 180
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Answer 1

To find the supplementary angle equation involving the given angles \( m∠ABC = 135° \) and \( m∠CBD = 9x° \), we know that supplementary angles sum up to \( 180° \). Therefore, we can set up the following equation:

\[ m∠ABC + m∠CBD = 180° \]

Substituting the measures of the angles:

\[ 135° + 9x° = 180° \]

This can be rewritten as:

\[ 9x° + 135° = 180° \]

Thus, the correct equation to solve for \( x \) is:

9x° + 135° = 180° (first response).