January 2022
Problem of the Month

The Incenter of a Triangle
Submitted by Brijesh Dave

X is the incenter of triangle ABC whose base is BC.

If the measure of angle BAC is 40 degrees, determine the measure of angle BXC.

Solution to the Problem:

The measure of angle BXC = 110 degrees.



The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle.

Correctly solved by:

1. Dr. Hari Kishan	D.N. College, Meerut, Uttar Pradesh, India
2. Colin (Yowie) Bowey	Beechworth, Victoria, Australia
3. Mohamed Sheriff (MEDDORA)	Freetown, Western Area Urban District, Sierra Leone, West Africa
4. Ivy Joseph	Pune, Maharashtra, India
5. Veena Mg	Bangalore, Karnataka, India
6. Kelly Stubblefield	Mobile, Alabama
7. Alan Rench	Armstrong Creek, Wisconsin
8. Ritwik Chaudhuri	Shantiniketan, West Bengal, India

Send any comments or questions to: David Pleacher