Answer: x=8
∠BEC =33°
Step-by-step explanation:
Given : Ray EA is perpendicular to ray ED .
It means ∠AED= 90° [Perpendicular amkes right angles with the line] (1)
Also, Ray EB bisects angle AEC.
i.e. ∠AEB=∠BEC
Given that the measure of ∠AEB=4x+1 , then ∠BEC =4x+1 ......(2)
The measure of ∠CED=3x. (3)
Now, ∠AED=∠AEB+∠BEC+∠CED [From the figure below]
Then, ∠BEC =4(8)+1=33°