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15 November, 06:13

The measures of 13 angles of a 14-gon add up to 2014°. Find the fourteenth angle measurement

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  1. 15 November, 07:00
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    First work out the total value of angles in a 14-gon:

    external angle = 360 / 14 = 25.714 degrees

    so total angles = 14 * (180 - 25.714) = 2160 degrees

    So 14th angle = 2160 - 2014 = 46 degrees
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