Find sum of all the angles and each interior angle of a polygon which has 11 sides.
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So, the sum of the interior angles of an 11-gon is 1620 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)
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Solution:
Sum of all the angles of a polygon=(n-2)×180°
=(11-2)×180°
=9×180°
=1620°
Each interior angle of this polygon=1620°÷11=
=147.21818....°
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