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Answer :

Answer:

∠U = 31°

Step-by-step explanation:

∠W has an exterior angle next to it, making them supplementary angles. This means they equal 180° together. First, we solve for ∠W:

∠W + 84 = 180

∠W = 96

We know that ∠W is 96°.

We know that the sum of the angles of a triangle is 180°. Knowing that we can solve for ∠U:

96 + 53 + ∠U = 180

149 + ∠U = 180

∠U = 31

Therefore, ∠U = 31°