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The sides AB and DC of a regular octagon ABCDEFGH are extended to meet at P. Find ∠BPC.

Competition practiceGeometry
  • A90°
  • B45°
  • C135°
  • D67.5°

Step-by-Step Solution

Each exterior angle of a regular octagon is 45°, so in triangle PBC, ∠PBC = ∠PCB = 45°. Hence ∠BPC = .
Answer: A) 90°

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