AEC and BED are vertical angles, which mean they are equal.
Set those two equations to equal and find those angles, then we can find AEB.
First:
3y+20 = 5y -16
Add 16 to each side:
3y+36 = 5y
Subtract 3y from each side:
36 = 2y
Divide both sides by 2: y = 36 /2
y = 18.
Now solve AEC:
3(18) +20 = 54+20 = 74
Both AEC and BED are 74 degrees.
AEB and CED asre also vertical angles and would be the same.
Subtract 74 +74 from 360 then divide by 2:
AEB = (360 - 74 - 74) / 2
AEB = 212 /2
AEB = 106 degrees
