Question

1. if m∠j = 66, m∠l = 64, and m∠k = 50, list the sides of △jlk in order from smallest to largest.

Explanation:

Step1: Recall angle - side relationship

In a triangle, the side opposite the smallest angle is the shortest, and the side opposite the largest angle is the longest.

Step2: Identify smallest to largest angles

Given \(m\angle K = 50^{\circ}\), \(m\angle L=64^{\circ}\), \(m\angle J = 66^{\circ}\), the order of angles from smallest to largest is \(\angle K,\angle L,\angle J\).

Step3: Determine corresponding sides

The side opposite \(\angle K\) is \(\overline{JL}\), the side opposite \(\angle L\) is \(\overline{JK}\), and the side opposite \(\angle J\) is \(\overline{LK}\). So the order of sides from smallest to largest is \(\overline{JL},\overline{JK},\overline{LK}\).

Answer:

\(\overline{JL},\overline{JK},\overline{LK}\)