here is the formula for find the one inside of the polygon: **(n-2).180/n (n shows how many sides does polygon have) **** so now we can solve the equation==== (n-2).180/n=144 **1144n=(n-2).180 144n=180n-360 360=36n n=10 so we call it **decagon :) **
n ( n − 2 ) ⋅ 180 = 144 180 n − 360 = 144 n 36 n = 360 n = 10
It's decagon.
To find the number of sides in a polygon with given interior angles, use the formula for the interior angle. By rearranging the formula and solving for n , you can determine the polygon type. For an interior angle of 144 degrees, the solution yields that the polygon is a decagon with 10 sides.
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