Question

determine the unknown angle measure for triangle lmk with angles 28°, 118° and then list the sides l, k, m in order from shortest to longest.

Explanation:

Step1: Find the third - angle measure

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

Step2: Relate angles and side lengths

In a triangle, the side opposite the smallest angle is the shortest and the side opposite the largest angle is the longest. The angles are 28°, 34°, 118°. The side opposite the 28° angle is $m$, the side opposite the 34° angle is $l$, and the side opposite the 118° angle is $k$.

Answer:

The unknown angle is 34°. The order of sides from shortest to longest is $m\lt l\lt k$.