Question

4. If one of the angles of a triangle is 130° then the angle between the
bisectors of the other two angles can be
(a) 50°
(b) 65°
(c) 90°
(d) 155°
5. In the oitdcfvf​

Answer 1

Answer:

Hi !!!

Explanation:

Consider a △ABC,such that ∠BAC=130°

and bisectors of ∠B and ∠C meet at O.

To find: ∠BOC

Now, in △ABC,

∠BAC+∠ABC+∠ACB=180

130+∠ABC+∠ACB=180 (Angle sum property)

∠ABC+∠ACB=50

1/2 (∠ABC+∠ACB)=25

∠OBC+∠OCB=25 (OB and OC bisect ∠ABC and ∠ACB)

Now, in △OBC,

∠OBC+∠OCB+∠BOC=180

25+∠BOC=180

∠BOC=155°.

Therefore the answer is option (d) 155°.

Hope this helps you !!✌️