Question

quadrilateral bcde is inscribed in circle a as shown. what is m∠e?
a. 111°
b. 84°
c. 69°
d. 96°

Explanation:

Step1: Recall cyclic quadrilateral property

Opposite angles sum to $180^\circ$

Step2: Identify opposite angle of $\angle E$

$\angle E$ is opposite $\angle C$

Step3: Calculate $m\angle E$

$m\angle E = 180^\circ - m\angle C = 180^\circ - 69^\circ = 111^\circ$

Answer:

A. $111^\circ$