Question

in triangle abc the bisector of angle abc and a c b intersect at o such that angle BOC equal to 120 degree then find the measure of angle

Which Theorem Is Used In This Question?​

Answer 1

Answer:

We have,

∠BOC=90

∘

+

2

1

∠A⇒120

∘

=90

∘

+

2

1

∠A⇒∠A=60

∘

∴∠A+∠B+∠C=180

∘

⇒60

∘

+2∠B=180

∘

[∵∠B=∠C(Given)]

⇒∠B=60

∘

Hence, ∠A=∠B=∠C=60

∘