Answer:
x = 10
Step-by-step explanation:
Measure of the angle with it's vertex inside a circle = ½(sum of intercepted arcs)
Thus,
m<E = ½(HL + GF)
Substitute
60 = ½(55 + 5x + 15)
Multiply both sides by 2
2(60) = 55 + 5x + 15
120 = 5x + 70
120 - 70 = 5x
50 = 5x
50/5 = x
10 = x
x = 10
