Question

In triangle ABC,bisector of angleA and angleB intersect at point o.If anglec=70°.find measure of angleAOB



only answer​

Answer 1

Answer:

ABC is a triangle. Bisectors of ∠A and ∠B intersect at point O. So, measure of ∠C = 70°. Hence, the measure of ∠AOB = 125°.

Explanation:

Answer 2

Explanation:

In a triangle, the sum of interior angle =180

∘

Thus, in △ABC ,

∠A+∠B+∠C=180

∘

∠C=70

∘

,

Hence,

∠A+∠B=130

∘

Bisector of ∠A and∠B intersect at point O then

2

∠A

+

2

∠B

=65

∘

∠OAB+∠OBA=65

∘

Now, in △OAB,

∠OAB+∠OBA+∠AOB=180

∘

⇒∠AOB=115

∘