Question

in triangle abc bisectors of angle A and Angle B intersect at point O if angle C is 70 degree find the measures of angle aob

Answer 1

see the attachment for your answer

Answer 2

Answer: The measure of ∠AOB = 125°.

Step-by-step explanation:

Since we have given that

ABC is a triangle.

Bisectors of ∠A and ∠B intersect at point O.

So, measure of ∠C = 70°.

So, ∠AOB would be

The measure of ∠AOB is given by

$90^\circ+\dfrac{\angle C}{2}\\\\=90^\circ+\dfrac{70}{2}\\\\=90^\circ+35^\circ\\\\=125^\circ$

Hence, the measure of ∠AOB = 125°.