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Which term describes the point where the three angle bisectors of a triangle intersect? Can triangle have 2 obtuse angles? The sum of the internal angles of any triangle is 180. An obtuse angle is any angle over 90 and less than 180 degrees. so no, there cannot be two of these in a triangle. Even â¦including the external angles, this is impossible - the external angles are all reflex angles above 180 degress. 7 people found this useful.
if a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle. Concurrency of Angle Bisectors of a Triangle Theorem. The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.