An acute triangle is a triangle in which all three angles measure less than 90 degrees.
To solve for the angles of an acute triangle, you can use the law of sines or the law of cosines. First, determine which angles you are given and which angles you need to solve for. Then, use the appropriate equation and solve for the missing angle.
No, an acute triangle cannot have two equal angles. Since all three angles are less than 90 degrees, they must all be unique.
If the given equations do not produce valid angles for an acute triangle, it means that the given measurements do not form an acute triangle. This could be due to measurement errors or an incorrect triangle type assumption.
Yes, there are a few special cases to be aware of when solving for the angles of an acute triangle. These include when the given measurements form a right triangle (one angle measures exactly 90 degrees) or an equilateral triangle (all three angles measure exactly 60 degrees).