Since this triangle is a right triangle, and the lengths of the sides are included we can use trigonometry to determine the measure of angle U.
In case you're unsure of the trigonometric ratios remember: SOH CAH TOA Sin. = opposite/hypotenuse, Cos. = adjacent/hypotenuse, Tan. = opposite/adjacent
Since all the side lengths are given, your choice of ratio will not affect the final answer. I will be using Tan. = opposite/adjacent.
Tan. of angle U = 77/36 = <span>2.13888888889 Now you can refer to a trigonometric table to see which angle degree is most similar to the decimal above. In this case the angle is around 65 degrees.</span>
