In the diagram below of AAGE and AOLD, ZGAE = LLOD, and AE = OD.
G
L
A
E
O
D
To prove that AAGE and AOLD are congruent by SAS
information is needed?
A GELD
C LAGE E ZOLD
B AG = OL
D LAEG = LODL

Option B

Step-by-step explanation:

side-angle-side

it's the missing piece near the given angle for this method. we are given one side and one angle, Option B is the other side we need

Options C and D can't possibly apply, bc then we would have two angles but only one side (ASA)

The first Image, I just plotted it on a graph,

The second I used Desmos Graphing Calculator to plot it

Hope that helps! :)