Question

Two supplementary angles have measures m<ABC = 105degree and m<CBD = (3x - 24). What is the equation to solve for x?
(3x - 24)degree + ____degree = ____debree
Answered by GPT 3.5
To find the equation to solve for x, we can use the fact that the sum of supplementary angles is 180 degrees.

According to the problem, m<ABC = 105 degrees and m<CBD = (3x - 24) degrees.

So we have:

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

Now we can simplify the equation:

3x - 24 + 105 = 180

3x + 81 = 180

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

3x = 180 - 81

3x = 99

Finally, we divide both sides of the equation by 3 to solve for x:

x = 99/3

x = 33

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