Basically when you have a 24 sided polygon you can split it up into 22 separate, non-overlapping triangles by drawing diagonals. Each triangle has 180 degrees, so the product, 22 times 180, gives you the sum of the interior angles of the 24 sided polygon.
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
No - the interior angles of a polygon must total at least 360 degrees.
A polygon with a total interior angle measure of 1080 degrees is a decagon, which has 10 sides. The formula for calculating the sum of the interior angles of a polygon is ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. For a decagon, ( (10 - 2) \times 180 = 8 \times 180 = 1440 ) degrees, which is incorrect for 1080 degrees. Therefore, a polygon with an interior angle sum of 1080 degrees would actually have 8 sides, making it an octagon, as ( (8 - 2) \times 180 = 1080 ) degrees.
A 30 sided polygon
If it's a regular polygon then each interior angle measures 120 degrees.
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
The exterior angles of any polygon add up to 360 degrees. So divide the amount of sides into 360 degrees and subtract your answer from 180 degrees to find the interior angle (180 degrees on a straight line)
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
The formula for calculating the interior angles for any polygon is:- (number of sides -2)*180 = sum of interior angles So: (9 -2)*180 = 1260 degrees
Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.
Any polygon can have an interior angle of 144 degrees. The measurement of an interior angle of a decagon is 144 degrees.
There is no such polygon whose interior angles add up to 250 degrees.
No - the interior angles of a polygon must total at least 360 degrees.
A polygon with a total interior angle measure of 1080 degrees is a decagon, which has 10 sides. The formula for calculating the sum of the interior angles of a polygon is ( (n - 2) \times 180 ) degrees, where ( n ) is the number of sides. For a decagon, ( (10 - 2) \times 180 = 8 \times 180 = 1440 ) degrees, which is incorrect for 1080 degrees. Therefore, a polygon with an interior angle sum of 1080 degrees would actually have 8 sides, making it an octagon, as ( (8 - 2) \times 180 = 1080 ) degrees.
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
If all of the interior angles of the polygon add up to 180 degrees, then the polygon is a triangle.
A 30 sided polygon