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