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IF it is a regular polygon

central angle of the 14 triangles created from the center is 360/n = 180/7

All triangles are isosceles.... so one non central angle is (180 -180/7)/2

But that is only 1/2 of one of the interior angles so multiply by 2

= 180 - 180/7 <--- Answer

Another way is the total of all angles of the 14 triangles formed from the center is 14(180) But the center is a circle = 360 so the sum of the interior angles is

14(180) - 360. A little alg shows this is (14 - 2)180 A FORMULA FROM GEOMETRY. (n-2)180

So if all = 12(180) then one will be 12(180)/14 <--- Answer

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Q: What is the measure of an interior angle of a regular 14-sided polygon?
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