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

Answer 1

Since the angles ABC and CBD are supplementary, they add up to 180 degrees.

So we can form the equation:

∠ABC + ∠CBD = 180

Substituting the given values:

(3x+25) + 32 = 180

Simplifying the equation:

3x + 57 = 180

Now, we can solve for x by isolating the variable:

3x = 180 - 57

3x = 123

Dividing both sides of the equation by 3:

x = 41

Therefore, the equation to solve for x is 3x = 123.