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The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *

1 point



9 sides



10 sides



11 sides



12 sides

1 Answer

3 votes

Answer:

12 sides

Explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

User Katie Fritz
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