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.