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

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

m∠ABC + m∠CBD = 180°

105° + (3x - 24)° = 180°

Simplifying the equation:

3x - 24 + 105 = 180

3x + 81 = 180

Subtracting 81 from both sides:

3x = 99

Dividing both sides by 3:

x = 33

The equation to solve for x is 3x = 99.