Question

1. list the angles in order from least to greatest.

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 are \(AB = 18\), \(BC=18\), and \(AC = 13\).

Step3: Determine angle order

The shortest side is \(AC\). The angle opposite \(AC\) is \(\angle B\). The other two sides \(AB\) and \(BC\) are equal. So the angles opposite them (\(\angle A\) and \(\angle C\)) are equal. Since \(\angle B\) is opposite the shortest side, \(\angle B\) is the smallest. And \(\angle A=\angle C\) are larger. So the order of the angles from least to greatest is \(\angle B,\angle A,\angle C\).

Answer:

\(\angle B,\angle A,\angle C\)