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]
