Question

if $\triangle adg\cong\triangle bce$, what angle is congruent to $\angle g$?
a $\angle e$
b $\angle b$
c $\angle a$
d $\angle g$

Explanation:

When two triangles are congruent ($\triangle ADG\cong\triangle BCE$), their corresponding parts (angles and sides) are congruent. In congruent triangles, the order of the letters in the congruence statement gives the correspondence. For $\triangle ADG$ and $\triangle BCE$, $A$ corresponds to $B$, $D$ corresponds to $C$, and $G$ corresponds to $E$. So, $\angle G$ corresponds to $\angle E$.

Answer:

A. $\angle E$