Respuesta :

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°

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