Two supplementary angles are <ABC = (3x + 25) degree and <CBD = 32 degree. What is an equation to solve for x? The equation should be in simplest terms.
____x degree + ____ = 180 degree
To find the measure of angle ABC, we know that supplementary angles add up to 180 degrees. Therefore, we have the equation:
(3x + 25) + 32 = 180
Simplifying this equation, we get:
3x + 57 = 180
By subtracting 57 from both sides of the equation, we have:
3x = 123
Finally, by dividing both sides of the equation by 3, we find:
x = 41
So the equation to solve for x is:
41 + (3x + 25) = 180