The interior angles of a triangle have measures 75 degrees,(-5w+125) degrees, and (4w+85) degrees. what is the value of W?

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The sum of the measures of the angles is 180 degrees.
75 + -5w + 125 + 4w + 85 = 180
Combine like terms.
285 - w = 180
Subtract 285 from both sides.
-w = -105
Divide both sides by -1.
w = 105