Question
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
Answers
GPT 3.5
Since the angles are supplementary, their measures must add up to 180 degrees. Thus, we can write the equation:
m<TUV + m<VUW = 180
Substituting the given angle measures:
(2x - 25) + 110 = 180
Simplifying the equation:
2x - 25 + 110 = 180
2x + 85 = 180
To solve for x, we isolate the variable:
2x = 180 - 85
2x = 95
Finally, dividing both sides by 2, we have:
x = 95/2
x = 47.5
So the equation is 2x + 85 = 180.
m<TUV + m<VUW = 180
Substituting the given angle measures:
(2x - 25) + 110 = 180
Simplifying the equation:
2x - 25 + 110 = 180
2x + 85 = 180
To solve for x, we isolate the variable:
2x = 180 - 85
2x = 95
Finally, dividing both sides by 2, we have:
x = 95/2
x = 47.5
So the equation is 2x + 85 = 180.