Inside of, and outside of, respectively.
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If you mean a regular pentagon then each interior angle is 108 degrees and each exterior angle is 72 degrees
the interior angle is about 128.571428 the exterior angle is about 51.4285
If you mean exterior angle is twice its interior angle then an equilateral triangle will fit the given description because each interior angle is 60 degrees and each exterior angle is 120 degrees
Interior + Exterior = 180 and Interior = 5*Exterior So interior = 150 degrees and exterior = 30 degrees. Nothing more may be said unless it is known that the polygon is regular.
The words are used in the context of closed shapes. These divide space in two: an inside and an outside. Exterior refers to things that are outside the shape and interior to those that are inside.