Question

consider triangle wxy. which statement about the angles is true? angle w is greater than angle y. angle y is the largest angle. angle x is smaller than angle w. angle w is the smallest angle.

Explanation:

Step1: Recall the triangle side - angle relationship

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

Step2: Identify the side lengths

The side lengths of triangle \(WXY\) are \(WX = 5\), \(XY=10\), and \(WY = 14\).

Step3: Determine the angles opposite the sides

Let \(\angle Y\) be opposite \(WX\), \(\angle W\) be opposite \(XY\), and \(\angle X\) be opposite \(WY\).

Step4: Compare the side lengths and their opposite angles

Since \(WX=5\lt XY = 10\lt WY=14\), then \(\angle Y\lt\angle W\lt\angle X\) (by the side - angle relationship in a triangle).

Answer:

Angle \(W\) is greater than angle \(Y\).