Question

the two triangles below are similar.
complete the similarity statement.
△xyz ~ △\boxed{}

Explanation:

Step1: Identify corresponding angles

In \(\triangle XYZ\), \(\angle X = 80^{\circ}\), \(\angle Y=46^{\circ}\), \(\angle Z = 54^{\circ}\). In \(\triangle FGH\), \(\angle F=80^{\circ}\), \(\angle H = 46^{\circ}\), \(\angle G=54^{\circ}\).

Step2: Match vertices

Since \(\angle X\) corresponds to \(\angle F\), \(\angle Y\) corresponds to \(\angle H\), and \(\angle Z\) corresponds to \(\angle G\).

Answer:

\(\triangle XYZ\sim\triangle FHG\)