Yes.
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A right angle triangle
If you only know one angle, that angle is greater than 90 degrees, then the triangle is obtuse If that angles is equal to 90 degrees, then the triangle is a right triangle. If it is less than 90 degrees, you don't know enough information to classify the triangle.
Obtuse Triangle
The sum of the interior angles of a triangle is 180 degrees. If one angle is 90, that leaves 90 for the other two angles. You can't have another angle of 90 and an angle of 0, so there can only be one angle in a triangle that measures 90 degrees.
A right angle triangle can only have one right angle of 90 degrees