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      Question

      If I is the incentre of ΔABC , if  ∠ BIC =

      105.50  , then what is the measure of  ∠ BAC?
      A 80Ëš Correct Answer Incorrect Answer
      B 60Ëš Correct Answer Incorrect Answer
      C 31Ëš Correct Answer Incorrect Answer
      D 20Ëš Correct Answer Incorrect Answer

      Solution

        If I is the incentre of ΔABC,  then ∠ BIC = 90 0    +  ∠ BAC/2   105.50   = 90 0    + ∠ BAC /2  105.50 - 90 0    = ∠ BAC/2 ∠  BAC/2 = 15.50      ∠ BAC = 31 0 

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