∠bec is formed inside a circle by two intersecting chords. if minor arc bd = 94 and minor arc ac = 166, what is the measure of ∠ bec? a) 44° b) 47° c) 50° d) 53°

∠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.

Now, ∠BED + ∠BEC = 180 ( Adjacent angles )

⇒ ∠BEC = 180 - 130

⇒ ∠BEC = 50°