Question

find the largest angle of \\( \triangle wxy \\).

Explanation:

Step1: Recall the triangle angle - side relationship

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

Step2: Identify the longest side

The sides of \(\triangle WXY\) are \(XY = 24\) ft, \(YW=31\) ft, and \(WX = 28\) ft. Since \(31>28 > 24\), the longest side is \(YW\).

Step3: Determine the angle opposite the longest side

The angle opposite side \(YW\) is \(\angle X\).

Answer:

\(\angle X\)