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Question

If I is the incentre of ΔABC , if  ∠ BAC = 650 , then what is the measure of  ∠ BIC?

A 130˚ Correct Answer Incorrect Answer
B 105˚ Correct Answer Incorrect Answer
C 112.5˚ Correct Answer Incorrect Answer
D 122.5˚ Correct Answer Incorrect Answer

Solution

  If I is the incentre of ΔABC,  then ∠ BIC = 90 0  +  ∠ BAC/2   ∠ BIC  = 90 0  + ∠ BAC /2  ∠ BIC = 900  + 65/2  ∠  BIC = 900 + 32.50      ∠ BAC = 122.50 

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