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Geometry.
Angles less than 900 are called acute angles. 900 angles are called right angles. Angles that are greater than 900 and less than 1800 are called obtuse angles. 1800 angles are called straight angles. Anles greater than 1800 and less than 3600 are called reflex angles. 3600 angles are called full rotations. 1500 is therefore an obtuse angle.
Angles were known before trigonometry. Trigonometry was the study of angles and their relationship to shapes.
It started off as a study of the properties of angles and sides of a trigon or triangle but has since broadened into the study of angles and sides of all polygons.
The angles that are equal to 180 are called supplementary angles. The angles that equal 90 degrees are called complimentary.