Answer:
∠ VXU = 105°
Step-by-step explanation:
the chord- chord angle VXU is half the sum of the arcs intercepted by the angle and its vertical angle.
The sum of the arcs in a circle = 360° , so
UV = 360° - (130 + 60 + 90)° = 360° - 280° = 80°
Then
∠ VXU = [tex]\frac{1}{2}[/tex] (80 + 130)° = 0.5 × 210° = 105°
