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Two.
An obtuse triangle must have two acute angles and these can be congruent.
In any right triangle, the two angles at either end of the hypotenuse are both always acute angles. But I don't think that would be called an 'acute' triangle, because an acute triangle is one in which all three angles are acute ones.
A scalene triangle could have three acute angles, one right angle and two acute angles, or one obtuse angle and two acute angles.
No triangle is never acute in the sense that every triangle has at least two acute angles.