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If the measure of arc AD is 65 degrees and the measure of arc BC is 45 degrees, what is the measure of angle BEC?

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Answer:

[tex]\angle BEC=55 \textdegree)[/tex]

Step-by-step explanation:

From the question we are told that:

Arc [tex]AD =65 \textdegree[/tex]

Arc [tex]BC =45 \textdegree[/tex]

Given The angle of intersecting chords theorem

Generally the equation for angle BEC is mathematically given by

 [tex]\angle BEC=\frac{1}{2} (\angle of arc AD+\angle of arc BC)[/tex]

 [tex]\angle BEC=\frac{1}{2} (65 \textdegree+45 \textdegree)[/tex]

 [tex]\angle BEC=55 \textdegree)[/tex]

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