Question

these figures are congruent. what is ge?
\boxed{} inches

Explanation:

Step1: Match congruent triangle parts

In $\triangle GEF$ and $\triangle TUV$: $\angle G = 37^\circ$, $\angle F = 53^\circ$, $\angle E = 90^\circ$; $\angle T = 37^\circ$, $\angle V = 53^\circ$. So $\triangle GEF \cong \triangle TUV$ (by AA correspondence, with congruent triangles matching angles to sides).

Step2: Identify corresponding side

Side $GE$ corresponds to side $TU$ (since $\angle F$ pairs with $\angle V$, $\angle G$ pairs with $\angle T$, so the side opposite $\angle F$ (which is $GE$) matches the side opposite $\angle V$ (which is $TU$)).

Answer:

50 inches