Answer:
m<U = 118°
Step-by-step explanation:
∆UVW is an isosceles ∆ because it has two equal sides, UV and WU.
UV is opposite to <W = 31°
WU is opposite to <V = 31° (this is because the two equal sides of an isosceles ∆ has opposite angles that are also congruent).
Thus:
m<U = 180 - (m<W + m<V) (sum of triangle)
m<U = 180 - (31 + 31)
m<U = 118°
