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The given angles are supplementary, so their sum is 180 degrees:
(m∠TUV) + (m∠VUW) = 180
Substituting the given measures:
(2x - 25) + 110 = 180
Simplifying:
2x - 25 + 110 = 180
2x + 85 = 180
Rearranging the equation:
2x = 180 - 85
2x = 95
Simplifying:
x = 95/2
Therefore, the equation to solve for x is:
2x = 95