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°
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