Question

question
in δwxy, xy = 13, yw = 6, and wx = 17. which statement about the angles of δwxy must be true?
answer
m∠w > m∠x > m∠y
m∠x > m∠w > m∠y
m∠y > m∠w > m∠x
m∠y > m∠x > m∠w
m∠x > m∠y > m∠w
m∠w > m∠y > m∠x

Explanation:

Step1: Recall angle - side relationship

In a triangle, the larger the side length, the larger the measure of the opposite angle.

Step2: Identify opposite angles

In $\triangle WXY$, side $XY = 13$ is opposite $\angle W$, side $YW=6$ is opposite $\angle X$, and side $WX = 17$ is opposite $\angle Y$.

Step3: Compare side lengths

We have $WX>XY>YW$ since $17 > 13>6$.

Step4: Determine angle order

Since the angle opposite the longest side is the largest and the angle opposite the shortest side is the smallest, we have $m\angle Y>m\angle W>m\angle X$.

Answer:

A. $m\angle W>m\angle X > m\angle Y$