Answer:
[tex]\overline{DE}\cong\overline{GE}[/tex]
Step-by-step explanation:
You are asked to show ASA congruence. ASA means Angle-Side-Angle.
To use this postulate, you need to identify two angles and the side between them as being congruent to corresponding parts of the other triangle.
Here, you have angle D congruent to angle G, and you have the vertical angles at E congruent. The sides between those angles are DE and GE.
So, the shortest way to the desired proof is to make use of ...
[tex]\overline{DE}\cong\overline{GE}[/tex]
