Question

find the longest side of △vwx.

Explanation:

Step1: Find the third angle

In a triangle, the sum of angles is \(180^{\circ}\). Let \(\angle X\) be the third angle. Then \(\angle X=180^{\circ}-(60^{\circ} + 68^{\circ})=180^{\circ}-128^{\circ}=52^{\circ}\).

Step2: Relate angles and sides

In a triangle, the larger the angle, the longer the side opposite it. The angles are \(52^{\circ}\) (\(\angle X\)), \(60^{\circ}\) (\(\angle V\)), and \(68^{\circ}\) (\(\angle W\)). The largest angle is \(68^{\circ}\), and the side opposite \(\angle W\) is \(VX\).

Answer:

\(VX\)