Question

1. order the sides of the triangle from greatest to least. 118° 28°

Explanation:

Step1: Find the third - angle measure

The sum of angles in a triangle is 180°. Let the third angle be $\angle H$. So, $\angle H=180^{\circ}-(118^{\circ} + 28^{\circ})=34^{\circ}$.

Step2: Apply the angle - side relationship

In a triangle, the side opposite the largest angle is the longest and the side opposite the smallest angle is the shortest. The largest angle is $\angle K = 118^{\circ}$, the second - largest is $\angle H=34^{\circ}$, and the smallest is $\angle J = 28^{\circ}$. The side opposite $\angle K$ is $\overline{HJ}$, the side opposite $\angle H$ is $\overline{KJ}$, and the side opposite $\angle J$ is $\overline{HK}$.

Answer:

$\overline{HJ},\overline{KJ},\overline{HK}$