Question

ordering angles of a triangle
what is the order of the angles from largest to smallest?
angle x, angle w, angle y
angle w, angle x, angle y
angle y, angle w, angle x
angle x, angle y, angle w

Explanation:

Step1: Recall the triangle side - angle relationship

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

Step2: Order the side lengths

The side lengths are \(WX = 5\), \(XY=7\), \(WY = 11\). So, \(WY>XY > WX\).

Step3: Determine the order of angles

The angle opposite \(WY\) is \(\angle X\), the angle opposite \(XY\) is \(\angle W\), and the angle opposite \(WX\) is \(\angle Y\). So, \(\angle X>\angle Y>\angle W\).

Answer:

Angle \(X\), Angle \(Y\), Angle \(W\)