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)
2x°+°= °
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m∠VUW + m∠TUV = 180° (definition of supplementary angles)
110° + (2x - 25)° = 180° (substituting the given angle measures)
2x - 25 + 110 = 180 (combining like terms)
2x + 85 = 180 (combining like terms)
2x = 180 - 85 (subtracting 85 from both sides)
2x = 95
x = 95/2
x = <<95/2=47.5>>47.5
Therefore, the equation to solve for x is 2x + 85 = 180.