Question

can a triangle have 3 acute angles

Answer 1

yes it can
an equilateral triangle has all the angles of 60°
which are acute angles

Answer 2

Yes, it is very much possible that a triangle can have 3 acute angles. An acute angle by definition is one whose measure is less than 90 degrees.

Let angle A, B, C be acute in triangle ABC.

The m(A) < 90, m(B) < 90, m(C) < 90

Adding these, we get:

m(A+B+C) < 90*3

But m(A+B+C) = 180 (angle sum property of a triangle)

Hence your inequality becomes:

180 < 90*3

180 < 270

Since this inequality holds true, yes, a triangle can have three acute angles for any values of acute angles as long as they sum up to 180 degrees.