The measurement of the sum of angles of a regular polygon is 4140°. Find the number of diagonals..... Please answer quickly.........
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Step-by-step explanation:
Let the numbers of side of regular polygon be N
Sum of interior angle of regular polygon =(n - 2) * 180.
And according to the question sum of interior angles =4140°
So. The number of sides
=> (n - 2) * 180 =4140°
=>(n - 2) =4140/180
=>n-2=23°
=>n=23+2
Therefore n=25
Number of diagonal =n-2
=25-2
=23
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