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In regular pentagon ABCDE, the diagonals AC and BD meet at P. Find ∠BPC.

Competition practiceGeometry
  • A108°
  • B72°
  • C36°
  • D120°

Step-by-Step Solution

Each interior angle is 108°. Triangles ABC and BCD are isosceles with apex 108°, so ∠ACB = ∠DBC = 36°. In triangle BPC, ∠BPC = .
Answer: A) 108°

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