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### High School Mathematics - 2 Secants

 Theorem: (Tangent- Secant theorem or Alternate Segment theorem) The angle between chord AB and tangent PQ through the point of contact is equal to the angle in the alternate segment. Given: PQ is a tangent at A to the circle with O as center. AB is a chord. To prove: If C is a point on a major arc and D is a point on a minor arc with respect to the chord AB then BAQ = ACB and PAB = ADB Construction: Join OB Directions: Solve the following

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