Question

.In triangle ABC, bisectors of angle A & angle B intersect at point `O` Find measure angle AOB If measure angle A = 58° and measure angle B =64​

Answer 1

Answer:

It is given that angle A = 58⁰ and angle B = 64⁰.

So, angle OAB = (58÷2)⁰ = 29⁰ [As AO is the bisector of angle A]

So, angle OBA = (64÷2)⁰ = 32⁰ [As BO is the bisector of angle B]

We know, the sum of the three angles of a triangle is 360⁰.

So, angle AOB = (180 - 29 - 32)⁰ = 119⁰