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Because two angles have to be the same size, and all three angles within the triangle must add up to 180 degrees, so it follows that the two equal angles must have individual angles of less than 90 degrees. (<90 degrees)
There is a special case of isosceles triangle that contains a right-angle (90 degrees) this then means the internal angles of such a triangle are:-
90, 45, and 45 degrees.
Right-angled triangles are a 'special case' of triangle and have a relationship between the lengths of their individual sides, this is called THE PYTHAGOREAN THEOREM. More can be found about this theory, and others by following the links from this web-site.
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