Two supplementary angles have measures M< ABC = 105 and M <CBD equal (3x - 24) what is the equation to solve for x
To find the equation to solve for x, we can set up an equation using the fact that supplementary angles add up to 180 degrees.
Given that M<ABC = 105 degrees and M<CBD = 3x - 24, we have:
M<ABC + M<CBD = 180
105 + (3x - 24) = 180
Combine like terms:
3x + 81 = 180
Subtract 81 from both sides:
3x = 99
Divide both sides by 3:
x = 33
The equation to solve for x is 3x + 81 = 180.