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
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.