The sum of angles of a polygon 9180 º .
a) What is the sum of the angles of a polygon with one side less ?
b) What is the sum of the angles of a polygon with two sides more ?
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We know that the sum of interior angles of a polygon is ( n − 2 ) × 180 .
9180 = (n-2)180
51 = n-2
n = 53
Hence the number of sides is 53 .
The Question asks what is the sum of the angles of a polygon with one side less which means we have to calculate the sum of the interior angles of a polygon with 52 sides.
n = (52 - 2)180
n = 9000 Degree's
The Question also asked what is the sum of the angles of a polygon with two side more which means we have to calculate the sum of the interior angles of a polygon with 55 sides.
n = (55-2)180
n = 9540 Degree's
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