Question

refer to the figure. find ( mangle suv ).

Explanation:

Step1: Analyze the relationship between angles

We know that \( \angle SUV\) and the \(58^{\circ}\) angle are supplementary (they form a linear - pair). The sum of angles in a linear - pair is \(180^{\circ}\).

Step2: Calculate \(m\angle SUV\)

Let \(m\angle SUV=x\). Then \(x + 58^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x=180^{\circ}-58^{\circ}\).

Answer:

\(122^{\circ}\)