A pair of complementary angles add up to equal 90 degrees. Therefore, both angles indeed need to be less than 90 degrees.
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A scalene triangle if the acute angles are different in sizes but if the acute angles are equal then it is an isosceles triangle and in both cases all 3 angles must add up to 180 degrees
A right angle must have two acute angles because since one angle is ninety degrees, than the other two must equal ninety degrees. To make ninety degrees with two angles, both of them must be acute, or less than 90 degrees (each).
No. In fact, if one of the angles is not acute (a right angle or obtuse), the other two must be acute.
Any irregular polygon can have an acute angle. A regular triangle (equilateral) has three acute angles. All other triangles must have at least two acute angles. A quadrilateral, other than a rectangle (or square), must have at least one.
Every triangle must have at least two acute angles. The third one can be acute, right (90 degrees), or obtuse.