two supplementary angles are angle/ABC = (3x + 25)° and angle/CBD = 32°. what is an equation to solve for x? the equation should be in simplest terms.

1 answer

To determine an equation to solve for x, we need to use the fact that supplementary angles add up to 180°.

Given that angle ABC is (3x + 25)° and angle CBD is 32°, their sum must equal 180°.

Therefore, we can write the equation as:
(3x + 25) + 32 = 180

Simplifying this equation, we get:
3x + 57 = 180

Now, we need to isolate x by subtracting 57 from both sides:
3x = 180 - 57
3x = 123

Finally, divide both sides of the equation by 3:
x = 123/3
x = 41

Therefore, the equation to solve for x is 3x + 57 = 180, and the solution is x = 41.