Answer:
y = 100 , ∠ AED = 130°
Explanation:
∠ BEC and ∠ BEA are a linear pair and sum to 180° , that is
∠ BEC + 50° = 180° ( subtract 50° from both sides )
∠ BEC = 130°
∠ AED and ∠ BECare vertically opposite angles and are congruent , that is
y + 30 = 130 ( subtract 30 from both sides )
y = 100
Then
∠ AED = y + 30 = 100 + 30 = 130°