Two supplementary angles have measures m ABC = 105 degrees and m CBD = (3x - 24) degrees. What is the equation to solve for x?

Question

(3x - 24) degrees + __ degrees = __ degrees

Answer 1

For two supplementary angles, the sum of their measures is always 180 degrees.

So, the equation to solve for x would be:

105 degrees + (3x - 24) degrees = 180 degrees

Simplify:

3x - 24 + 105 = 180

3x + 81 = 180

3x = 99

x = 33

Therefore, the equation to solve for x is:
(3x - 24) degrees + 105 degrees = 180 degrees