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

1 answer

Since ∠ABC and ∠CBD are supplementary angles, their sum is 180°.

Therefore, we can write the equation as:

∠ABC + ∠CBD = 180°

(3x + 25) + 32 = 180

3x + 57 = 180

Now, we can solve for x by subtracting 57 from both sides:

3x = 180 - 57

3x = 123

Finally, we can divide both sides by 3 to solve for x:

x = 123/3

x = 41