Question

ordering 1 point
order the angles from greatest to least
triangle with vertices x, z, y. xz = 25 m, xy = 27 m, zy = 24 m
greatest
1 ∠z
2 ∠x
3 ∠y
least
previous

Explanation:

Step1: Recall the triangle angle - side relationship

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

Step2: Identify the side - angle pairs

In \(\triangle XYZ\), side \(XY = 27m\) is opposite \(\angle Z\), side \(XZ=25m\) is opposite \(\angle Y\), and side \(YZ = 24m\) is opposite \(\angle X\).

Step3: Compare the side lengths

Since \(27>25>24\), by the triangle angle - side relationship, the angles opposite these sides follow the same order.

Answer:

\(\angle Z>\angle Y>\angle X\)