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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.
Concurrency of Perpendicular Bisectors Theorem: The perpendicular bisectors of the sides of a triangle intersect in a point that is equidistant from the vertices. If , and are perpendicular bisectors, then . Example 3: For further exploration, try the following: Cut out an acute triangle from a sheet of paper.