Answer :
The measure of angle CFI is 36.9
How to find angle CFI
According to the figure, we can solve for angle CFI using trigonometry as follows
cos (angle CFI) = FI / CF
From the figure, we can deduce that
CF = CG = 5 (radius of the circle are equal)
FI = FH / 2
FI = 8 / 2 = 4
Hence we have that
cos (angle CFI) = 4/5
angle CFI = arccos (4/5)
angle CFI =36.8699
angle CFI = 36.9 deg
