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Are the acute angles of a right triangle complementary?
Yes.
What possible measures for angle a and angle b with triangle abc is a right triangle with the right angle at c?
'a' and 'b' must both be acute, complementary angles.
What is the greatest number of acute angles right triangle can contain?
Two. Two acute angles in a right triangle.
How many obtuse angles are in a acute triangle?
None. An acute triangle is one in which all angles are acute. An obtuse triangle is one in which one of the angles is obtuse. A right angled triangle is one in which one angle is a right angle (90o)
What does a right acute triangle look like?
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.
