Answer:
∠ DAE = 130°
Step-by-step explanation:
ABCD is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ BAD = ∠ BCD = 65°
∠ ADE = ∠ BAD = 65° ( alternate angles )
Since DE = AE then Δ ADE is isosceles with 2 base angles congruent, that is
∠ DAE = ∠ ADE = 65°
Then
∠ BAE = ∠ BAD + ∠ DAE = 65° + 65° = 130°
