Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the angles ABC and CBD are supplementary, their measures add up to 180 degrees. Therefore, we can write the equation:

m<ABC + m<CBD = 180

Replacing the measures with their given values:

105 + (3x - 24) = 180

Simplifying the equation:

3x + 81 = 180

To solve for x, we need to isolate the variable. Subtracting 81 from both sides of the equation:

3x = 99

Finally, dividing both sides of the equation by 3:

x = 33

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