Question

in △xyz, yz = 18, zx = 8, and xy = 12. which list has the angles of △xyz in order from largest to smallest? answer attempt 1 out of 2 m∠z, m∠y, m∠x m∠y, m∠x, m∠z m∠z, m∠x, m∠y m∠x, m∠y, m∠z m∠y, m∠z, m∠x m∠x, m∠z, m∠y

Explanation:

Step1: Recall angle - side relationship

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

Step2: Identify side lengths

Given $YZ = 18$, $ZX=8$, and $XY = 12$. The order of side - lengths from longest to shortest is $YZ>XY>ZX$.

Step3: Determine angle order

The angle opposite $YZ$ is $\angle X$, the angle opposite $XY$ is $\angle Z$, and the angle opposite $ZX$ is $\angle Y$. So the order of angles from largest to smallest is $m\angle X,m\angle Z,m\angle Y$.

Answer:

$m\angle X, m\angle Z, m\angle Y$