Answer:
130 degrees
Step-by-step explanation:
Let's start by finding CDA. Angles on a line in a parallelogram add up to 180.
BCD + CDA = 180
65 + CDA = 180
CDA = 115
Now we need to find EDA. Since EDA and CDA are a linear pair, they also add up to 180.
EDA + CDA = 180
EDA + 115 = 180
EDA = 65
We are given that DE is congruent to AE. This means ADE is a isosceles triangle. Therefore Angle ADE is congruent to angle DAE.
DAE = 65
Since ABCD is a parallelogram, opposite angles are equal therefore BAD = 65
Therefore...
BAE = BAD + DAE
BAE = 65+65
BAE = 130
