The sides AB and AC of ΔABC are extended to P and Q respectively. If the bisectors of ∠PBC and ∠QCB intersect at O, and ∠A = 92°, then ∠BOC is equal to:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 44o
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Concept |
Understanding |
Application |
Fair calculation |
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Property of exterior angle bisectors: Angle at ex-centre = 90 – (Opposite angle)/2 |
∠A = 92o |
∠BOC = 90o – ∠A/2 ⇒ 90 – (92/2) = 44o |
90 – (92/2) = 90 – 46 = 44o |