Question

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

Answer 1

Answer:

$m$

Step-by-step explanation:

we know that

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

so

$m$

we have

$m$ -----> given problem

so

$m$

Remember that

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

so

In the right triangle OQB

$m$

substitute

$15\°+m$

$m$

Answer 2

Answer:

The incenter of a triangle is the meeting point of the 3 angle bisectors of a triangle.  Since angle RBO = 15 degrees, then angle QBO = 15 degrees.

Then Angle QOB = 180 degrees - 15° - 90° = 75°

Source: https://www.1728.org/trictr.htm

Step-by-step explanation: