Two supplementary angles have angles two supplementary angles have measures ABC they equal 105 and angle CBD is equal to 3x - 24 what is the equation to solve for x

Answer 1

To solve for x, we need to set up an equation using the given information.

We are given that angle ABC and angle CBD are supplementary, meaning their measures add up to 180 degrees.

So, we can write the equation as:
ABC + CBD = 180

Substituting the given measures into the equation:
105 + (3x - 24) = 180

Simplifying the equation:
105 + 3x - 24 = 180
3x + 81 = 180

Now, we can solve for x by isolating it on one side of the equation:
3x = 180 - 81
3x = 99

Dividing both sides by 3:
x = 99/3

Simplifying:
x = 33

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