Question

In triangle ABC AB is equal to AC bisector of Angle B and angle C meet at O if angle is equal to 40 degree find angle BOC

Answer 1

May be it is right ...

Answer 2

Answer:130

Step-by-step explanation:

Given,

AB=AC

A=80°

It is an isosceles triangle

Angles opposite to equal sides of a triangle are equal in isosceles triangle

Angle sum property of a triangle

2x+80=180

2x=100

x=50 (other two angles)

Given that OB and OC are bisectors

Then ..after bisecting angle OBC will 50/2 =25

ngle OCB will be 50/2=25

Now...using Angle sum property for ΔBOC we get

25+25+x=180

x= 180‐50

x=130

Therefore answer is Angle BOC=130