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Reil [10]
3 years ago
14

What is the sum of the measures of the interior angles of a 14-gon?

Mathematics
2 answers:
garri49 [273]3 years ago
5 0
Here, we know, sum of the exterior angles is always 360 degrees. 

As there are 14 angles in 14-gon, each exterior angle will measure 360/14 = 180/7 degrees. 

Now, as exterior & interior angle is always supplementary. It would be:
<span>So, each interior angle will measure 180 - 180/7 = 1080/7 = 154.3

Now, sum of 14 angles would be: 154.3 * 14 = 2160 degree

In short, Your Answer would be 2160 degree

Hope this helps!</span>
tensa zangetsu [6.8K]3 years ago
4 0
The answer would be 154.3
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