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30 January, 01:10

The measures of 13 of the 14 angles of a 14-gon add up to 2,004°. What must the fourteenth angle measure be?

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  1. 30 January, 01:13
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    156°

    Step-by-step explanation:

    The interior angles of a convex n-gon add to (n - 2) 180°, so a 14-gon has a sum of angles of 12*180° = 2160°. Since 13 angles sum to 2004°, the remaining one must be ...

    ... 2160° - 2004° = 156°
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