Two supplementary angles have following measures m<ABC=135 and m<CBD=9x what is the equation to solve for x?

To find the equation to solve for x, we need to use the fact that supplementary angles add up to 180 degrees.

We are given that the measure of angle ABC is 135 degrees.

Since angle ABC and angle CBD are supplementary angles, we can write the equation:

angle ABC + angle CBD = 180 degrees

135 + 9x = 180

To solve for x, we need to isolate the variable.

First, subtract 135 from both sides of the equation:

9x = 180 - 135

9x = 45

Now, divide both sides of the equation by 9:

x = 45/9

x = 5

So, the equation to solve for x is 9x = 45.