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You cannot tessellate seven-sided polygons by themselves?
The heptagon (7 sided polygon) cannot tessellate. The exterior angle of the heptagon is 51.43 degrees which makes the interior angle 128.57 degrees.
What is the interior angle of a 9 sided polygon?
To find the interior angle of a polygon, you can use the formula: (n-2) * 180 / n, where n is the number of sides. For a 9-sided polygon, the formula would be (9-2) * 180 / 9, which simplifies to 7 * 180 / 9 = 1260 / 9 = 140 degrees. Therefore, the interior angle of a 9-sided polygon is 140 degrees.
How many diagonals are in a 7 sided polygon?
A 4-sided polygon has 2 diagonals. A 5-sided polygon, 5. 6-sided, 9. By induction, an n-sided polygon has 'n*(n-3)/2' diagonals. "n" is how many sides a shape has. so, (7)*(7-3)/2 now we have, 7*4/2 so, 28/2 = 14 Therefore, a 7-sided polygon would have 14 diagonals.
What is the measure of each angle of a regular polygon with 7 sides?
A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.
Does any polygon have the sum of its angle equal to 1000 how about 900?
Well, honey, a polygon with 1000 degrees for the sum of its angles would be one sassy shape with over 7 sides, like an octagon or higher. And for 900 degrees, you're looking at a hexagon or more. So, in short, yes, there are polygons out there strutting their stuff with those angle sums.
