Question

in triangle ABC if bisectors of angle abc and angle abc intersect at O at angle of 120 degree then measure of angle a​

Answer 1

Answer:

In ΔABC, by angle sum property we have

2x + 2y + ∠A = 180°

⇒ x + y + (∠A/2) = 90°

⇒ x + y = 90° –  (∠A/2)  à (1)

In ΔBOC, we have

x + y + ∠BOC = 180°

90° – (∠A/2) + ∠BOC = 180° [From (1)]

∠BOC = 180° – 90° + (∠A/2)

∠BOC = 90° + (∠A/2)

Step-by-step explanation:

Hope it helps.