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.

Question

____x degree + ____ = 180 degree

Answer 1

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