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

1 answer

Since the angles are supplementary, their measures add up to 180 degrees.

Therefore, we can write the equation:
m∠ABC + m∠CBD = 180

105 + (3x-24) = 180

Simplify:

105 + 3x - 24 = 180

81 + 3x = 180

Now, solve for x:

3x = 99

x = 33

Therefore, the equation to solve for x is: 3x = 99.