You need to construct a regular polygon. When you draw two sides, the interior angle created between them is 144°, What will be the sum, in degrees, of the measures of the interior angles of this polygon when it is completed? Answer 720° 900° 1080° 1440°

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You need to construct a regular polygon. When you draw two sides, the interior angle created between them is 144°, What will be the sum, in degrees, of the measures of the interior angles of this polygon when it is completed? Answer 720° 900° 1080° 1440°

Mathematics
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the inner sum of angles is 180(n-2) (n number of angles) so if 180(n-2)=144, then n=10 so 144*10=1440
Another way to figure out without memorizing formulas is to know that the angle formed at the center of the shape is 180-144 = 36. Because there must be 360 degrees at the center, it must therefore be true that the shape has 360/36 = 10 sides.
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