Question

In fig, BO and CO are the bisectors of exterior angles ∠b and ∠C of ∆ABC.
Find ∠boc.

Answer 1

Answer:

Step-by-step explanation:

As the angles in a quadrilateral are equal to 360 degrees.

So the opp angles sum is equal to 180 degrees.

∴Therefore angle boc =180-bac.

Answer 2

Answer:

60 degrees

Step-by-step explanation:

Triangle ABC is an equilateral triangle, meaning that all it,s angles are 60 degrees. The exterior angles b and c will be 180-60=120 degrees.

If BO and CO are bisectors of angle b, angle OBC and OCB will be 120/2=60 degrees. Let angle BOC be x. Then, 60+60+x=180.

120+x=180

x=180-120

x=60 degrees

angle BOC = 60 degrees