Question

In ΔABC,bisectors of ∠A and ∠B intersect at point O.If ∠C= 80°,find the measure of ∠AOB ​

Answer 1

Given

ABC is a triangle and bisectors of ∠A and ∠B intersect at point O and ∠C is 80°.

To find

The measure of ∠AOB

Solution

$90° + \frac{∠C}{2} \\ \\ ⇒90° + \frac{80}{2} \\ \\ ⇒90° + 40° \\ \\ ⇒130°$

Hence, the measure of ∠AOB is 130°.