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