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20 March, 03:02

An n-sided polygon has two of its exterior angles measuring 30° and 42°. The remaining exterior angles all measure 16° each. Find the value ot n.

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  1. 20 March, 03:25
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    n = 20.

    Step-by-step explanation:

    The external angles of a polygon add up to 360 degrees. So:

    30 + 42 + 16 (n - 2) = 360 where n is the number of sides of the polygon.

    16n + 30 + 42 - 32 = 360

    16n + 40 = 360

    16n = 320

    n = 20.
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