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
Answered by
GPT 3.5
Since we know that the sum of the measures of supplementary angles is 180 degrees, we can set up the equation:
(2x - 25) + 110 = 180
Simplifying the equation:
2x - 25 + 110 = 180
2x + 85 = 180
Subtracting 85 from both sides of the equation:
2x = 180 - 85
2x = 95
Dividing both sides of the equation by 2:
x = 95/2
Therefore, the equation to solve for x is x = 95/2.
(2x - 25) + 110 = 180
Simplifying the equation:
2x - 25 + 110 = 180
2x + 85 = 180
Subtracting 85 from both sides of the equation:
2x = 180 - 85
2x = 95
Dividing both sides of the equation by 2:
x = 95/2
Therefore, the equation to solve for x is x = 95/2.
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