High Quality Content by WIKIPEDIA articles! In geometry, the defect (or deficit) means the failure of some angles to add up to the expected amount of 360° or 180°, when such angles in the plane would. The opposite notion is the excess.In the plane, angles about a point add up to 360°, while interior angles in a triangle add up to 180° (equivalently, exterior angles add up to 360°). However, on a convex polyhedron the angles at a vertex on average add up to less that 360°, on a spherical triangle the interior angles always add up to more than 180° (the exterior angles add up to less that 360°), and the angles in a hyperbolic triangle always add up to less than 180° (the exterior angles add up to more than 360°).

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