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The exterior angles of a triangle add up to 360 degrees.
There is no 'why' because this is not true. Just take a triangle for example. The sum of the exterior angles is 360, but that is not the only polygon. Now take a square. The sum of the exterior angles is 1080. So your statement is not true for a square, rectangle, parallelogram, lots of other polygons.
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No, the sum of the exterior angles of any polygon, including a pentagon, is always 360 degrees, regardless of the number of sides. This is true for all polygons, meaning that the sum of the exterior angles of a pentagon is 360 degrees, not 300.