Equiangular
all angles are congruent
Equiangular is a mathematical term that describes a shape or object that has all its angles equal to each other. Specifically, this means that all the angles in an equiangular shape will have the same degree measure.
For example, a regular polygon with 4 sides (a square) is an equiangular shape because all four interior angles measure 90 degrees. Similarly, a regular hexagon with six sides is also an equiangular shape because all its interior angles are equal to 120 degrees.
In trigonometry, an equiangular triangle is a triangle with all its angles equal, which means that each angle measures 60 degrees. This type of triangle is particularly important because it has some special properties that hold true based on its angle measurements, such as the fact that it has equal sides and is therefore an equilateral triangle.
Overall, the term equiangular is important in geometry and trigonometry because it helps us to identify specific shapes and objects with equal angle measurements, which gives us a basis for solving problems and making calculations.
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