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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.
TO PROVE The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides. That is, for any triangle ABC, the bisector of the angle at C divides the opposite side into segments of length x and y such that Hint.isector of An Angle of a triangle. Exploration Construct any triangle. Construct an angle bisector in the triangle and draw the segment along the angle bisector from the vertex to the intersection with the opposite side. Click here for a GSP Sketch to explore these ratios.