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Name: _________________________________________ Date ___________________________________________ Geometry Period:_____ The Exterior Angles Inequality Theorem Interior and Exterior Angles When the sides of a polygon are extended, other angles are formed. The original angles are the interior angles. The angles that form linear pairs with the interior angles are the exterior angles. Exterior Angle Inequality Theorem: The measure of an exterior angle of a triangle is greater than each of the two nonadjacent interior angles.