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    Question

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

    112.5°  , then what is the measure of  ∠ BAC?
    A 80˚ Correct Answer Incorrect Answer
    B 60˚ Correct Answer Incorrect Answer
    C 31˚ Correct Answer Incorrect Answer
    D 45˚ Correct Answer Incorrect Answer

    Solution

      If I is the incentre of ΔABC,  then ∠ BIC = 90 0    +  ∠ BAC/2   112.50   = 90 0    + ∠ BAC /2  112.50 - 90 0    = ∠ BAC/2 ∠  BAC/2 = 22.50      ∠ BAC = 45 0 

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