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Euclidean geometry is the traditional geometry: it is the geometry of a plane surface, as developed by Euclid. Among other things, it is based on Euclid's parallel postulate which said (in effect) that given a line and a point outside that line there could only be one line through that point that was parallel to the given line. It has since been discovered that both alternatives to that postulate - that there are many such lines possible and that there are none - give rise to consistent geometries. These are non-Euclidean geometries.
In plane Euclidean geometry there are 3 angles in any triangle that add up to 180 degrees and if given 2 angles the sum of the 2 angles minus 180 will give the measure of the 3rd angle
These are some of them.
quadratic formula is used often
Pythagoras! Pythagoras was an Ancient Greek who loved to give his brain a workout. Geometry kept his mind fit! He found out amazing stuff about numbers and shape.