Question

1. identify the angles as complementary or supplementary. then find the missing angle.

Explanation:

Step1: Define complementary and supplementary angles

Complementary angles add up to 90°, supplementary to 180°. The given angle doesn't form a 90° or 180° with another angle shown directly. But if we assume the two - angle pair at the vertex, since the sum of angles around a point is 360° and if we consider the non - overlapping part of these two angles, we can find the other angle. However, if we assume these two angles are part of a linear pair (which is a common scenario in such problems), they are supplementary.

Step2: Calculate the missing angle

Let the missing angle be $x$. If the angles are supplementary, and one angle is 58°. We use the formula $x + 58^{\circ}=180^{\circ}$. Solving for $x$, we get $x=180^{\circ}- 58^{\circ}$.
$x = 122^{\circ}$

Answer:

The angles are supplementary and the missing angle is 122°