Question
If I is the incentre of ΔABC , if ∠BIC =
112.5°  , then what is the measure of ∠BAC?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 0Â
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