two supplementary angles whve the followong measure m-angle/ABC = 135° and m-angle/CBD = 9x° what is the equation to solve for x?

1 answer

To find the value of x, we need to use the fact that supplementary angles add up to 180 degrees.

The given angles are angle ABC with measure 135° and angle CBD with measure 9x°.

Since angle ABC and angle CBD are supplementary, their measures add up to 180 degrees:

m(angle ABC) + m(angle CBD) = 180°

Substituting the given values:

135° + 9x° = 180°

Simplifying the equation:

9x° = 180° - 135°

9x° = 45°

Now, to solve for x, divide both sides of the equation by 9:

x = 45° / 9

x = 5°