Question

what are m∠e and m∠f? m∠e = m∠f =

Explanation:

Step1: Recall cyclic - quadrilateral property

In a cyclic quadrilateral, opposite angles are supplementary (i.e., their sum is 180°).

Step2: Find \(m\angle E\)

\(\angle E\) and \(\angle G\) are opposite angles in the cyclic - quadrilateral \(EFGD\). Given \(m\angle G = 110^{\circ}\), then \(m\angle E=180 - 110=70^{\circ}\).

Step3: Find \(m\angle F\)

\(\angle F\) and \(\angle D\) are opposite angles in the cyclic - quadrilateral \(EFGD\). Given \(m\angle D = 111^{\circ}\), then \(m\angle F=180 - 111 = 69^{\circ}\).

Answer:

\(m\angle E = 70^{\circ}\), \(m\angle F=69^{\circ}\)