Sum_interior_angles = (number_of_sides - 2) x 180o
→ number_of_sides = sum_of_interior_angles ÷ 180o + 2
= 1800o ÷ 180o + 2
= 12
It will have (1800+360)/180 = 12 sides
If the interior angles add up to 1800 degrees then it will have 12 sides
12 sides
2800 degrees * * * * * No. The interior angles of a polygon with n sides is (n-2)*180 degrees. Here, n = 12 so the answer is 1800 degrees. A polygon whose interior angles added to 2800 degrees would have 17 5/9 sides! Since a fractional number of sides is impossible, so is such a polygon.
12
The interior angles of a 12 sided polygon add up to 1800 degrees
1800 degrees. (Number of sides - 2) x 180 = (12 -2) x 180 =10 x 180 = 1800
1800= (n-2)180, 1800= 180n-360, 1800+360= 2160, 2160 divided by 180 = 12
The formula is: (12-2)*180 = 1800 degrees
The interior angles add up to 1800 degrees
The sum of the interior angle measures=(the number of sides-2) times 180. So 1440=(n-2)180. 180n-360=1440 180n=1800 n=10 The polygon has 10 sides.
The formula for number of sides a polygon has given the sum of its internal angles is 1800 * (n - 2). So, for a triangle, n=3, and sum of the angles is 1800. So to answer your question, first divide 1,980 by 180 to get 11. Now add 2, and you get the number of sides, 13. In case you're curious, a 13 sided polygon is called a triskaidecagon.