Question

You need to construct a regular polygon. When you draw two sides, the interior angle created between them is 144°, illustrated below.



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°

Answer 1

\[\left( n-2 \right)180^{o}=n(144^{o})\]\[36n=360^{?}\]\[n=10\]sum of interior angle\[=10 \times 144^{o}\]\[=1440^{o}\]