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Angles in The Alternate Segments
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Angles in The Alternate Segments
Definition The segment opposite to the angle formed by the chord of a circle with the tangent at a point is called the alternate segment for that angle.
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Example: In Fig., AB is a tangent to the circle. If DCB = 30 and ECD = 60, find CDE.
Solution: CED = DCB
  CED = 30
  in CDE , you have 
  CDE + DEC + ECD = 180
  CDE + 30 + 60 = 180
  CDE = 180 - 60 - 30
  CDE = 90
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