Question

In the given figure , BO and CO are the bisectors of the exterior angles meeting each other at O . If angle A = 70⁰ find angle BOC . ​

Answer 1

Answer:

answer is 55°

Step-by-step explanation:

sum of angles on a straightline=180∘

=>∠ABC=180 ∘ −2θ

and∠ACB=180 ∘ −2α

In△ABC

=>∠A+∠ABC+∠ACB=180 ∘

=>70 ∘ +180−2θ+180−2α=180

=>250 ∘ −(2θ+2α)=0

=>2(θ+α)=250 ∘

=>θ+α=125 ∘ −(1)

In△BOC

=>∠CBO+∠BCO+∠BOC=180 ∘

=>θ+α+∠BOC=180 ∘

=>125 ∘ +∠BOC=180 ° −from(1)

∴∠BOC=55 ∘

Answer 2

Answer:

I hope answer is helpful to us