Answer:
VY = 68°
Explanation:
The Angle of Intersecting Chords Theorem states that the measure of the vertex angle formed inside the circle when two chords intersect is equal to ½ of the sum of the intercepted arcs.
Therefore:
55° = ½(42° + VY)
Multiply both sides by 2
2*55° = 42° + VY
110° = 42° + VY
110° - 42° = VY
68° = VY
VY = 68°
