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 answer

Since the angles are supplementary, the sum of their measures is 180 degrees. So, we can write the equation:

(2x - 25) + 110 = 180

Simplifying the equation:

2x - 25 + 110 = 180
2x + 85 = 180
2x = 180 - 85
2x = 95

Dividing both sides by 2:

x = 95/2

The equation to solve for x is: x = 95/2