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      Question

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

      1200 , then what is the measure of ∠ BAC?
      A 80╦Ъ Correct Answer Incorrect Answer
      B 60╦Ъ Correct Answer Incorrect Answer
      C 90╦Ъ Correct Answer Incorrect Answer
      D 20╦Ъ Correct Answer Incorrect Answer

      Solution

      If I is the incentre of ΔABC, then ∠ BIC = 90 0 + ∠ BAC/2 1200 = 90 0 + ∠ BAC /2 1200 - 90 0 = ∠ BAC/2 ∠ BAC/2 = 300 ∠ BAC = 60 0

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