Answer:
To the nearest degrees, this is 64 degrees
Step-by-step explanation:
In triangle TUV, we want to get the measure of angle U
Since we have 3 sides, we can use cosine rule to get the measure of the angle facing one of the sides
Mathematically, we have that as follows;
u^2 = t^2 + v^2 -2tv Cos U
830^2 = 900^2 + 590^2 - 2(900)(590) cos U
-469200= -1062000 cos U
cos U = 469,200/1062000
cos U = 0.44181
U = arc cos 0.44181
U = 63.78 degrees
To the nearest degree, this is 64 degrees
