Question

m∠f =

m∠g =

Explanation:

Step1: Recall property of cyclic quadrilateral

Opposite angles of a cyclic quadrilateral are supplementary (sum to 180°).

Step2: Find measure of ∠F

Since ∠D and ∠F are opposite angles in cyclic quadrilateral DEFG, and m∠D = 98°. Then m∠F=180 - 98.
m∠F = 82°

Step3: Find measure of ∠G

Since ∠E and ∠G are opposite angles in cyclic quadrilateral DEFG, and m∠E = 101°. Then m∠G=180 - 101.
m∠G = 79°

Answer:

m∠F = 82°
m∠G = 79°