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

Question

asked Sep 8, 2019 182k views

2 Answers

BinaryBigInt · Answer 1 · 2019-09-14T16:52:21+0000

Answer:

$m<QOB=75\°$

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

$15\°+m<QOB+90\°=180\°$

$m<QOB=180\°-90\°-15\°=75\°$