Question

What could be the maximum size of an acute angle

Answer 1

In mathematical terms, an acute angle is one that measures less than 90°, or less than a right angle. So, that wouldinclude any angle from 0° up to 89°, and includes both our piece of pie and piece of pizza.
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Answer 2

an acute angle is any angle which measures more than 0 degree but less than 90 degree.Theximum size of an acute angle is less than 90 degree that is 89 degree. so 89 degree is your answer.