The sum of the angle measures of a polygon with n sides is 2880.find n
2 answers:
The number of sides of the polygon is 18.
Step-by-step explanation:
Given,
The sum of interior angles of a polygon is 2880°
To find the number of sides of the polygon.
Formula
The sum of the interior angle of n side polygon is (n-2)×180°
According to the problem,
(n-2)×180° = 2880°
or, n-2 =
or, n-2 = 16
or, n = 18
Hence,
The number of sides of the polygon is 18.
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Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below
thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)