Since the angles ABC and CBD are supplementary, their measures add up to 180 degrees. Therefore, we can write the equation:
m<ABC + m<CBD = 180
Replacing the measures with their given values:
105 + (3x - 24) = 180
Simplifying the equation:
3x + 81 = 180
To solve for x, we need to isolate the variable. Subtracting 81 from both sides of the equation:
3x = 99
Finally, dividing both sides of the equation by 3:
x = 33
So the equation to solve for x is 3x + 81 = 180.
Two supplementary angles have measures m<ABC =105 and m<CBD = (3x-24). What is the equation to solve for x
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