Find the interior angle of a regular polygon which has 10 sides
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The number of distinct diagonals in a decagon is 35.
The total interior angle of a decagon is given by, Total interior angle = (n - 2)180 degrees. So, in a decagon the sum of all interior angle = 1440 degrees.
Since the sides are equal, the interior angle at each vertex is = 144010 = 144 degrees.
For any polygon, the total exterior angle is 360 degrees.
The number of all possible triangles formed by diagonals drawn from each vertex to other vertices is given by (n - 2). So, the number of triangles formed from each vertex is 8.
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