Question

In the given figure ∠A = 64°, ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ∆ABC, find x° and y°.

Answer 1

In ∆ABC, ∠A + ∠B + ∠C = 180° 

⇒ 64° + 58° + ∠C = 180° 

⇒ 122°+ ∠C = 180° 

⇒ ∠C = 180°- 122° = 58°

Also BO and CO are the bisectors of ∠ABC and ∠ACB respectively