Multiple choice

In ∆ ABC, the bisectors of ∠B and ∠C meet at point O inside the triangle. If ∠BOC = 122o, what will be the measure of ∠A?

  1. 62o

  2. 64o

  3. 72o

  4. 68o
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B Correct answer
Explanation

In any triangle, if angle bisectors of B and C meet at O, then ∠BOC = 90° + (∠A/2). Given ∠BOC = 122°, we have 122° = 90° + (∠A/2), so ∠A/2 = 32°, therefore ∠A = 64°.

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