No number can satisfy that set of criteria.
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An obtuse angle
A reflex angle is greater than 180 but less than 360 degrees
An angle greater than 90 but less than 180 degrees is obtuse An angle greater than 0 but less than 90 degrees is acute A right angle measures 90 degrees
An acute angle is greater than 0 but less than 90 degrees
Any angle that is greater than 0 but less than 90 degrees is an acute angle.