Question

1. list the side lengths of △wxz in order from shortest to longest.

w
x

Explanation:

Step1: Recall the triangle angle - side relationship

In a triangle, the larger the angle, the longer the side opposite it.

Step2: Compare the angles

Given \(\angle W = 41^{\circ}\), \(\angle V= 64^{\circ}\), \(\angle X=180^{\circ}-(41^{\circ} + 64^{\circ})=75^{\circ}\) (using the angle - sum property of a triangle \(\angle W+\angle V+\angle X = 180^{\circ}\)).
The sides opposite these angles are: side opposite \(\angle W\) is \(VX\), side opposite \(\angle V\) is \(WX\), side opposite \(\angle X\) is \(WV\).
Since \(41^{\circ}<64^{\circ}<75^{\circ}\), by the angle - side relationship.

Answer:

\(VX