two supplementary angles have the following angle measures m-angle/TUV = (2x - 25)° and m-angle/VUW = 110° what is an equation to solve for x? the ewaution should be in simplest terms.
To find an equation to solve for x, we can use the fact that the sum of the measures of supplementary angles is 180°.
m-angle/TUV + m-angle/VUW = 180°
Since m-angle/TUV = (2x - 25)° and m-angle/VUW = 110°, we can substitute these values into the equation:
(2x - 25)° + 110° = 180°
Simplifying the equation further:
2x - 25 + 110 = 180
2x + 85 = 180
2x = 180 - 85
2x = 95
Dividing both sides of the equation by 2:
x = 95/2
So the equation to solve for x is x = 47.5, where x is in simplest terms.