Right, acute, and obtuse...
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adjacent opposite hypotenuse
Angles were known before trigonometry. Trigonometry was the study of angles and their relationship to shapes.
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
Geometry is the study of spatial properties (shapes, sizes, etc.), while trigonometry is the study of triangles and the relationships between angles and lengths.
acute, Right, and obtuse