Two supplementary angles have the following measures: m∠ABC=135°

Question

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°=180°
9 x minus 135 equals 180

9x°+135°=90°

Answer 1

To find the equation to solve for \( x \) given that two angles are supplementary, you can use the fact that the sum of supplementary angles equals 180°. In this case, you have:

• \( m∠ABC = 135° \)
• \( m∠CBD = 9x° \)

Since these two angles are supplementary, the equation to express this relationship is:

\[ 9x° + 135° = 180° \]

So, the correct response is:

9x° + 135° = 180°