Question

Point O is the incenter of triangle ABC. What is m

Answer 1

75

Explanation:

i took it EDG

Answer 2

`m<QOB=75\°`

Explanation:

we know that

The incenter of a triangle is the meeting point of the three angle bisectors of a triangle.

so

`m<QBO=m<OBR`

we have

`m<OBR=15\°` -----> given problem

so

`m<QBO=15\°`

Remember that

In a triangle the sum of the internal angles must be equal to
`180\°`

so

In the right triangle OQB

`m<QBO+m<QOB+90\°=180\°`

substitute

`15\°+m<QOB+90\°=180\°`

`m<QOB=180\°-90\°-15\°=75\°`