Question

how many distinct triangles can be formed for which $m\angle x = 51^\circ$, $x = 5$, and $y = 2$?
zero
one
two

Explanation:

Step1: Recall SSA triangle rule

In SSA (side-side-angle) conditions, we compare the side opposite the given angle ($x$) with the other given side ($y$).

Step2: Compare side lengths

Given $m\angle X=51^\circ$, $x=5$ (side opposite $\angle X$), $y=2$. Since $x > y$, only one unique triangle can be formed.

Answer:

one