Answer:
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
What we're given:
The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
Substituting given values:
Since ,