Question

find m\angle sut.
answer
m\angle sut

Explanation:

Step1: Identify the triangle type

Since \( UT = ST \), triangle \( SUT \) is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So \( \angle T=\angle S = 57^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \( 180^{\circ}\). Let \( \angle SUT=x\). Then \(x + 57^{\circ}+57^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(57^{\circ} + 57^{\circ})$$

$$x = 180^{\circ}-114^{\circ}$$

$$x = 66^{\circ}$$

Answer:

\(66^{\circ}\)