Question

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?

Answer 1

Answer:

$\angle BEC=55 \textdegree)$

Step-by-step explanation:

From the question we are told that:

Arc $AD =65 \textdegree$

Arc $BC =45 \textdegree$

Given The angle of intersecting chords theorem

Generally the equation for angle BEC is mathematically given by

 $\angle BEC=\frac{1}{2} (\angle of arc AD+\angle of arc BC)$

 $\angle BEC=\frac{1}{2} (65 \textdegree+45 \textdegree)$

 $\angle BEC=55 \textdegree)$