Answer : therefore if AE = BE and A = B, then CE = DE.
To prove that CE = DE, we will use the fact that AE = BE and A = B.
First, we draw a diagram to visualize the problem. We have two triangles, ABC and ABD, where point A is shared between both triangles.
```
C
/ \
/ \
/ \
/ \
/ \
A-----------B
\ /
\ /
\ /
\ /
\ /
D
```
Since AE = BE, we can subtract AB from both sides to get AE - AB = BE - AB. This simplifies to AE - AB = EA - DB.
Next, we know that A = B, so we can substitute B for A in the equation above to get BE - AB = EB - DB. Simplifying this expression gives us CE = DE, which is what we wanted to prove.
Therefore, if AE = BE and A = B, then CE = DE.