Answer:
x = 10
Explanation:
Based on the theorem of angles formed by two intersecting chords, thus:
Angle formed/vertex angle = ½(sum of intercepted arcs)
Angle formed/vertex angle = 60°
Sum of intercepted arcs = 55 + 5x + 15 = 5x + 70
Therefore:
60 = ½(5x + 70)
Multiply both sides by 2
60*2 = 5x + 70
120 = 5x + 70
120 - 70 = 5x
50 = 5x
Divide both sides by 5
50/5 = x
10 = x
x = 10
