Question

which angle in $\triangle xyz$ has the largest measure?
a. $angle x$
b. $angle y$
c. $angle z$
d. cannot be determined

Explanation:

Step1: Identify side-angle relationship

In any triangle, the largest angle is opposite the longest side.

Step2: Match sides to opposite angles

• Side $YZ = 5$ (longest side), opposite $\angle X$
• Side $XY = 3$, opposite $\angle Z$
• Side $XZ = 3$, opposite $\angle Y$

Answer:

A. $\angle X$