Answer:
114°
Step-by-step explanation:
By intersecting chords theorem:
[tex] m\angle CED = \frac{1}{2} (96\degree + 36\degree) [/tex]
[tex] \therefore m\angle CED = \frac{1}{2} (132\degree) [/tex]
[tex] \therefore m\angle CED =66\degree [/tex]
Next, by linear pair angles theorem:
[tex]m\angle BEC+m\angle CED =180\degree [/tex]
[tex]\therefore m\angle BEC+66\degree =180\degree [/tex]
[tex]\therefore m\angle BEC =180\degree-66\degree [/tex]
[tex]\therefore m\angle BEC =114\degree [/tex]
