Question

what is the value of c?

c = □□ □□

Explanation:

Step1: Recall the property of isosceles triangle

In triangle \(TSU\), since \(TS = SU\) (marked with the same tick - mark), it is an isosceles triangle. The sum of interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let \(c\) be the measure of angle \(U\). Angle \(S = 92^{\circ}\). In \(\triangle TSU\), we have \(c + c+92^{\circ}=180^{\circ}\) (sum of angles in a triangle).

Step3: Solve the equation for \(c\)

Combine like terms: \(2c=180^{\circ}-92^{\circ}\). So \(2c = 88^{\circ}\). Then \(c=\frac{88^{\circ}}{2}\).

Answer:

\(44\)