Question

In ABC bisectors of ZA and B intersect at
point o. If C = 60°. Find measure of AOB.​

Answer 1

Step-by-step explanation:

In triangle ABC

A+B+60=180⁰ or A+B=120......................(1)

A0 is bisector of angle A and BO is bisector of angle B.

therefore, angle OAB=A/2 and angle OBA=B/2

In triangle OAB

Angle AOB+ Angle OAB+ Angle OBA = 180⁰

Angle AOB+A/2+B/2=180

Angle AOB=180⁰–1/2(A+B) { by eq.(1) }

Angle AOB=180⁰–60⁰

Angle AOB=120⁰