Answer:
m∠V = 60°
m∠UYX = 45°
Step-by-step explanation:
Since X is the midpoint of UV and Y is the midpoint of UW, the triangles VUW and XUY are similar triangles.
It means that the internal angles of the triangles are equal so angle V is equal to angle UXY and angle W is equal to UYX.
Therefore, the measure of angle V is 60°, and the measure of angle UYX is 45°