In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpointof UV. If angle XWU = 77 - 4x and angle VTW = x + 67, what is the measure of angle XWU?
Lines WX and TV are parallel, so
77 - 4x = x + 67
10 = 5x
x = 2 ====> 69 degrees