No, just right angles.
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Such a triangle would presumably have one right angle, and two acute angles. A right angle has a measure of 90 degrees; an acute angle has a measure of less than 90 degrees. Since both of the other two angles in a right triangle must be acute angles, you'd think at first that every right triangle must be a right acute triangle. But when you go and look up the definition of an "acute triangle", it turns out to be a triangle in which all three angles are acute. So the fact is that there's no such thing as a right acute triangle, because the 90-degree angle in a right triangle is not acute.
yes, since angle is 45 degrees and thus less than 90, making it acute
Well, honey, a parallelogram has a grand total of zero acute angles. It's all about those congruent opposite angles being the same size, which means they're either both obtuse or both acute. So, if you're looking for acute angles, you better go find yourself a different shape to play with.
The sum of two acute angles is sometimes an obtuse angle because, acute angles can measure from 10 to 90 degrees. Two 30 degree angles would both be acute whose sum would only create another acute angle of 60 degrees. But, two80 degree angles would both be acute angle whose sum would only create an obtuse angle.
'a' and 'b' must both be acute, complementary angles.