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PA and PB are tangents from P to a circle with centre O. If ∠AOB = 110°, find ∠APB.

Class 10Tangent Lengths and IncirclesGeometry
  • A55°
  • B110°
  • C35°
  • D70°

Step-by-Step Solution

In quadrilateral OAPB, ∠OAP = ∠OBP = 90°. So ∠APB = 360° − 90° − 90° − 110° = 70°. The angles at O and P are supplementary.
Answer: D) 70°

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