No, an acute angle is between 0 and 90 degrees.
A right angle is 90 degrees.
An obtuse angle is between 90 and 180 degrees.
A reflex angle is an angle bigger than 180 degrees.
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An angle greater than 0 but less than 90 degrees is an acute angle.
An acute angle is larger than than 0 degrees but less than 90 degrees (a right angle).
The obtuse angle is greater than 90 degrees. It is the acute angle that is less than 90 degrees.
Obtuse. An acute angle is less than 90 degrees, a right angle is 90 degrees, and an obtuse angle is more than 90 degrees.
A complement of an acute angle must be an acute angle. An acute angle is an angle whose measure is more than 0 degrees but less than 90 degrees. For example, even if the angle was the minimum 1 degree, the complement is still 89 degrees, which is still acute. Therefore, any combination of a complement of an acute angle MUST be acute.