The sum of the interior angles measure of a 36 gon = [tex]6120^\circ[/tex].
Given :
Polygon - 36 gon
Solution :
- A 36 gon is a type of polygon and it is a closed plane figure bounded by three or more straight sides that meet in pairs in the same number of vertices and do not intersect other than at these vertices.
- Interior angles of polygon sum is [tex]\rm (n-2)\times180^\circ[/tex] for n sides and the sum of the exterior angles is 360°.
- All the sides and angles of regular polygon are equal.
- The polygons are named according to the number of sides.
Therefore, the sum of interior angles of a 36 gon = [tex](36-2)\times 180^\circ =6120^\circ[/tex].
Hence each interior angle of a 36 gon = [tex]\dfrac{6120}{36}=170^\circ[/tex].
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