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PA and PB are tangents from P to a circle with centre O, and ∠OPA = 32°. Find ∠AOB.

Competition practiceGeometry
  • A116°
  • B58°
  • C64°
  • D148°

Step-by-Step Solution

OP bisects ∠APB, so ∠APB = 64°. In quadrilateral OAPB, ∠OAP = ∠OBP = 90°, so ∠AOB = .
Answer: A) 116°

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