# Find the sum of the measures of the interior angles of a 52-gon.

2 months ago

## Solution 1

Guest #5679
2 months ago
We know that
52-gon means a polygon having 52 sides.
There is a formula for calculating the sum of interior angles of a polygon :
(2n-4) x 90° or (n-2) x 180° , where 'n' = number of sides.

Now, for sum of the interior angles of 52-gon:
(n-2) x 180°
=(52-2) x 180°
=50 x 180°
=9000°

the sum of the measures of the interior angles of a 52-gon is 9000°

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