You put this question into the section entitled "Geometric Proofs" so I presume, though rather annoyingly you didn't bother to say, that you want to prove the given statement. No can do. The statement: if a triangle has two angles of equal measure,then the third angle is obtuse. is generally false. Counterexample: an isosceles right triangle.
John
My calculator said it, I believe it, that settles it
