PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Let's us find the sum of the interior angles of any polygon.
We can extend the angle sum property theorem to any polygons by splitting the polygons into triangles.
 
th_5.png
 
From the above table, it is clear that for any polygon with \(n\) sides the sum of the interior angle is \((n-2)\)\(×180°\).
 
Thus, the sum of the interior angle of a polygon is \((n-2)×180°\).
Let us find each interior angle of a regular polygon:
We know that 'a regular polygon is a polygon whose all sides and all angles are equal. Thus, a regular polygon is both equiangular and equilateral'.
As all the angles are equal in a regular polygon, each interior angle of a polygon is (n2180°ndegree.
    Important!
  • The sum of all interior angles of a polygon with '\(n\)' sides is \((n-2)×180°\).
  • Each interior angle of a regular polygon with '\(n\)' sides is (n2180°n.