Answer:
∠BEC = 50°
Step-by-step explanation:
For better understanding of the solution, see the attached figure of the problem :
Minor arc BD = 94
Minor arc AC = 166
Now, the angle formed by the intersection of the two chords is ∠BED
And, the angle formed by the intersection of two chords is half the sum of angle measures of the corresponding chords.
[tex]\implies \angle BED =\frac{1}{2}\times (BD + AC)\\\\ \implies \angle BED = \frac{1}{2}\times (94+166)\\\\\implies \angle BED=\frac{1}{2}\times 260\\\\\implies\angle BED = 130 [/tex]
Now, ∠BED + ∠BEC = 180 ( Adjacent angles )
⇒ ∠BEC = 180 - 130
⇒ ∠BEC = 50°
