Two. Two acute angles in a right triangle.
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A triangle can have up to all three acute angles. An equilateral triangle has three- sixty degree angles, which are acute.
1 (APEX) A triangle is formed by three lines. If the ends of two lines meet to form a right-angle (90 degrees), the third line can only form angles less than 90 degrees. 90 + 45 + 45 = 180 the three angles must total 180 degrees.