Question

m∠t =
m∠u =

Explanation:

Step1: Determine the measure of ∠U

Since the triangle is isosceles (two sides are equal), ∠S = ∠U. Given ∠S = 54°, so \(m\angle U=54^{\circ}\).

Step2: Calculate the measure of ∠T

The sum of angles in a triangle is 180°. Let \(m\angle T=x\). Then \(x + 54^{\circ}+54^{\circ}=180^{\circ}\).

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Answer:

\(m\angle T = 72^{\circ}\)
\(m\angle U = 54^{\circ}\)