Question

in axyz, m z = 11, m x = 5, and xy = 13. which list has the angles of axyz in order from smallest to largest? m z, m x, m y m y, m z, m x m x, m y, m z m z, m y, m x

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 sides and their opposite angles

In \(\triangle XYZ\), side \(XY = 13\) (opposite \(\angle Z\)), side \(YZ=11\) (opposite \(\angle X\)), and side \(XZ = 5\) (opposite \(\angle Y\)).

Step3: Compare the side lengths

Since \(5<11<13\), i.e., \(XZ < YZ

Step4: Determine the angle order

By the side - angle relationship, \(\angle Y<\angle X <\angle Z\).

Answer:

\(\text{m}\angle Y,\text{m}\angle X,\text{m}\angle Z\)