9514 1404 393
Answer:
∠U = 60°
∠W = 30°
Explanation:
The side length ratios are ...
1 : √3 : 2
so you know this is one of the "special triangles." Its angle measures are 30°, 60°, and 90°. The smallest angle (W) is opposite the shortest side (7).
The angle measures are ...
m∠U = 60°
m∠W = 30°
[the UW measure is correct]
_____
Additional comment
Your calculator can tell you the arctangent of √3 or 1/√3. Be sure to set it to degrees mode.