Question

refer to the figure. find m∠suv.

Explanation:

Step1: Identify the angle - type

$\angle SUV$ is a right - angled triangle's non - right angle and its adjacent angle is given.

Step2: Use the right - angle property

In a right - angled triangle, if one non - right angle is given and we want to find the other non - right angle, we know that the sum of the two non - right angles in a right - angled triangle is 90°. Let $\angle SUV = x$. We have $x+58^{\circ}=90^{\circ}$.

Step3: Solve for the angle

$x = 90^{\circ}-58^{\circ}=32^{\circ}$.

Answer:

$32^{\circ}$