Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ? (1 point) (3x−24)°+°= °
m∠ABC + m∠CBD = 180° (since supplementary angles add up to 180°)
105° + (3x - 24)° = 180°
Simplifying the equation, we have:
3x - 24 + 105 = 180
3x + 81 = 180
3x = 180 - 81
3x = 99
Dividing both sides of the equation by 3, we get:
x = 33
Therefore, the equation to solve for x is:
(3x - 24)° + ° = °