Answer: The measure of ∠BEF=110°.
Explanation:
Given: In cyclic quadrilateral ABCD, ∠C = 110°
Then, ∠A+∠C=180° [The sum of opposite angles in a cyclic quadrilateral is 180 degrees.]
⇒ ∠A+ 110°=180°
⇒ ∠A = 180° - 110°
⇒ ∠A = 70°
In cyclic quadrilateral ABEF,
∠A+∠E=180° [The sum of opposite angles in a cyclic quadrilateral is 180 degrees.]
⇒ 70° + ∠E=180°
⇒∠E=110°
Hence, the measure of ∠BEF=110°.