Answer:
Option (A)
Step-by-step explanation:
Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.
m(∠FEC) = [tex]\frac{1}{2}[m(\text{arc FC})-m(\text{arc})FD][/tex]
(15 + 6x)° = [tex]\frac{1}{2}[(24x - 6)^{\circ}-(9+7x)^{\circ}][/tex]
30 + 12x = (24x - 7x) - (6 + 9)
30 + 12x = 17x - 15
17x - 12x = 30 + 15
5x = 45
x = 9
m(∠FED) = (15 + 6x)
= 15 + 6(9)
= 69°
Option (A) will be the correct option.
