BOC=90°+1/2of angle A
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Hey mate i don't know ur exact question becoz u have not completed ur question .But i guess ur question is this..........
1)Bisectors of angles B and C of a triangle ABC intersect each other at the point O .prove <BOC= 90°+1/2 <A
In ΔABC, by angle sum property we have
2x + 2y + ∠A = 180°
⇒ x + y = 90° – (∠A/2) à (1)
⇒ x + y + (∠A/2) = 90°
In ΔBOC, we have
90° – (∠A/2) + ∠BOC = 180° [From (1)]
∠BOC = 90° + (∠A/2)
∠BOC = 180° – 90° + (∠A/2)
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