∠bec is formed inside a circle by two intersecting chords. if minor arc bd = 94 and minor arc ca = 166, what is the measure of ∠ bec?

The measure of ∠BEC = 50°.

Step-by-step explanation:

Since we have given that

∠BEC is formed inside a circle by two intersecting chords.

and the value of minor arc BD = 94

The value of major arc CA = 166

We need to find the measure of ∠ BEC.

As we know theorem, the angle AEC is equal to half the sum of the intercepted arcs.

We will use to  find the intercepted angles when two chords got intersected i.e.

Since ∠ AEC and ∠BEC are supplementary angles.

So, it becomes,

Hence, the measure of ∠BEC = 50°.

yes. we do proportions in probabilities.