Applying the angles of intersecting chords theorem, m∠BEC = 109°.
What is the Angles of Intersecting Chords Theorem?
According to the angles of intersecting chords theorem, the measure of angle BEC equals half the sum of the measures of arcs AD and BC.
arc mAD = 103°
arc mBC = 115°
Therefore, we would have:
m∠BEC = 1/2(103 + 115)
m∠BEC = 109°
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