Reveal the type of a triangle if one of its angles is greater than the sum of its two remaining angles.

Let the angles of the triangle be a, b, c.

By hypothesis, a> b + c.

The angles of any triangle add up to 180 degrees. In the event that a = b + c, then a = 90, and (b + c) = 90 degrees.

If, a> b + c, then this is possible only if the angle a is greater than 90 degrees, therefore, the triangle will be obtuse.

Answer: The triangle is obtuse.



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