Question

1. list the angles of the triangle in order from smallest to largest measure.

Explanation:

Step1: Recall angle - side relationship

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

Step2: Identify side lengths

The side lengths of the triangle are \(LK = 4\), \(KM=9\), and \(LM = 12\).

Step3: Determine angle order

The angle opposite \(LK\) is \(\angle M\), the angle opposite \(KM\) is \(\angle L\), and the angle opposite \(LM\) is \(\angle K\). Since \(4<9<12\), the order of the angles from smallest to largest is \(\angle M,\angle L,\angle K\).

Answer:

\(\angle M,\angle L,\angle K\)