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8 January, 03:58

The sum of the interior angles of a polygon is 3960 degrees find the size of its exterior angles

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  1. 8 January, 04:41
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    4320 degrees

    Step-by-step explanation:

    If interior angles are 3960 degrees then there are 24 sides. If polygon is regular, size of each exterior angle is 15 degrees.

    A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to

    180 degrees.

    Sum of all the exterior angles of any polygon is

    360 degrees

    As sum of all the interior angles of the polygon is

    3960 degrees

    Sum of all pairs of exterior and interior angles is

    3960 degrees + 360degrees = 4320 degrees
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