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°=90°
9 x plus 135 equals 90

9x°=180°
9 x equals 180

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

9x°+135°=180°

Answer 1

To solve for \( x \) when two angles are supplementary, they must add up to 180°. In this case, the two angles are \( m∠ABC = 135° \) and \( m∠CBD = 9x° \).

So the correct equation will be:

\[ 9x° + 135° = 180° \]

Thus, the correct response is:

9x° + 135° = 180°.