In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpointof VW
Because X and Y are midpoints of the sides of the triangle.....XY is parallel to UW
Therefore....angles XYV and UWY are equal....so
98 - 6x = 63 - x
98 - 63 = 6x - x
35 = 5x
x = 35 / 5 = 7
So UWY = 63 - 7 = 56°
