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Lines AB and CD intersect at O. If ∠AOC + ∠BOD = 130°, find ∠BOC.

Competition practiceGeometry
  • A115°
  • B65°
  • C130°
  • D50°

Step-by-Step Solution

∠AOC and ∠BOD are vertically opposite, so each is . ∠BOC forms a linear pair with ∠AOC: .
Answer: A) 115°

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