Question

refer to the figure. find ( mangle suv ).

Explanation:

Step1: Use the definition of a linear pair

Angles that form a linear pair are supplementary. That is, their sum is \(180^{\circ}\).

Step2: Calculate \(m\angle SUV\)

Let \(m\angle SUV = x\). We know that \(x+ 58^{\circ}=180^{\circ}\) (since they form a linear pair).
Subtract \(58^{\circ}\) from both sides: \(x = 180^{\circ}-58^{\circ}\)

$$x=122^{\circ}$$

Answer:

\(122^{\circ}\)