Question

a b is equal to AC in triangle abc angle A is equal to 80° and measure of Angle B and angle C meet at O the measure of angle BOC is ______

A.40 B.90 C.145 D.130​

PLZZZZZZ ANSWER

Answer 1

Answer:

130

Step-by-step explanation:

If BO and CO bisects angle b and angle c,then

Given,

AB=AC

A=80°

(It is an isosceles triangle ...according to inequalities of triangle

Angles opposite to equal sides of a triangle r equal ..)

Hence...using Angle sum property of a triangle

x+x+80=180

2x=100

x=50 I.e each angle

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

Same way...angle OCB will be 50/2=25

Now...using Angle sum property for Traingle BOC U get

25+25+x=180

x= 180‐50

x=130

Therefore ans....Angle BOC=130

HOPE U UNDERSTOOD THE SOLUTION