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

Answer 1

To find the value of x, we can use the fact that the sum of supplementary angles is 180 degrees.

Since m<ABC = 105 and m<CBD = (3x-24), we have the equation:

105 + (3x-24) = 180

To solve for x, we can simplify and isolate the variable:

105 + 3x - 24 = 180
3x + 81 = 180
3x = 180 - 81
3x = 99
x = 99/3
x = 33

Therefore, the equation to solve for x is 3x + 81 = 180.