Triangle Solutions Using the Incenter — Practice Geometry Questions
In geometry, the point in a triangle where the angle bisectors of the triangle intersect is called the incenter. The following practice questions test your skills at finding the incenter of a given triangle.
Practice questions
Point I is the incenter of triangle CEN. Use the following figure and the given information to solve the problems.

If

If
is represented by 2c, and
is represented by 2b + c, find the value of b.
Answers and explanations

26 degrees
The incenter of a triangle is the point where the bisectors of each angle of the triangle intersect. A bisector divides an angle into two congruent angles.
Find the measure of the third angle of triangle CEN and then cut the angle in half:

4
The incenter of a triangle is the point where the bisectors of each angle of the triangle intersect. A bisector divides an angle into two congruent angles.