Two supplementary angles have the following angle measures:%C2%A0 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°+°=%C2%A0°
To find the equation to solve for x, we know that the sum of the measures of supplementary angles is 180 degrees. Therefore, we can set up the following equation:
m∠TUV + m∠VUW = 180°
Substituting the given angle measures, we have:
(2x - 25)° + 110° = 180°
Simplifying the equation, we combine like terms:
2x - 25 + 110 = 180
Adding -25 and 110, we get:
2x + 85 = 180
Finally, subtracting 85 from both sides of the equation, we have:
2x = 180 - 85
Simplifying further, we get:
2x = 95
Therefore, the equation to solve for x is 2x = 95.