Answer:
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
Explanation:
Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.
Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°
Two angles are adjacent if they are placed side by side and share the same vertex.
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEC and ∠CED are not vertical angles
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
∠BEA and ∠AED are not adjacent angles