Question

In the given figure ,BO and CO are the bisectors of B and C respectively . If A =50 ,then BOC = ? ​

Answer 1

Answer:

100°

Step-by-step explanation:

BOC=2BAC

=2(50)

=100

Answer 2

Answer: [100% CORRECT]

We know that,

BO is the bisector of <B and CO is the bisector of <C

Let: <CBO = <ABO = x and <BCO = <ACO = y

Then, <B = (2x), <C = (2y) and <A = 40

But, <A + <B + <C = 180 (Angle Sum Property)

2x + 2y + 40 = 180

=> 2(x + y) = 140

= x + y = 140/2 = 70

Hence, <BOC= 180 - 70 = 110