Two supplementary angles have the following angle measures: m∠TUV=(2x−25)° and m∠VUW=110° . What is an equation to solve for x ? The equation should be in simplest terms.(1 point)
Since the angles are supplementary, their measures add up to 180 degrees. Therefore, we have:
(2x-25) + 110 = 180
Simplifying the equation gives:
2x - 25 + 110 = 180
Combining like terms:
2x + 85 = 180
Subtracting 85 from both sides:
2x = 95
Dividing both sides by 2:
x = 47.5
So, the equation to solve for x is 2x + 85 = 180.