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Two secants PAB and PCD meet at a point P outside a circle. The far arc BD measures 130° and the near arc AC measures 40°. What is ∠BPD?

Competition practiceGeometry
  • A45°
  • B85°
  • C90°
  • D65°

Step-by-Step Solution

For two secants from an outside point, the angle is half the difference of the intercepted arcs: .
Answer: A) 45°

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