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Q: Interior angle of 7 sided polygon?

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Not to 1000 degrees but a 7 sided polygon's interior angles add up to 900 degrees

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.

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.

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.

The measure of the interior angles of a regular heptagon is approximately 128.6 degrees. There are 2 ways to work this out: Find the total of all the angles and divide by 7: In an n-sided figure the interior angles sum to (n-2) x 180 degrees. For a heptagon, n=7, so total angles = (7-2) x 180 = 5 x 180 = 900 degrees So each angle = 900 / 7 ~= 128.6 degrees. Calculate the exterior angle and then subtract from 180 degrees to get the interior angle: The sum of the exterior angles of a polygon is 360 degrees; Divide 360 degrees by the number of angles (= number of sides) Exterior angle of heptagon is 360 / 7 ~= 51.4 degrees; Interior angle ~= 180 - 51.4 = 128.6 degrees

Related questions

the interior angle of a 7 sided regular polygon is 128.57 degrees

It is approximately 128.57

The interior angle of a heptagon (a 7-sided regular polygon), rounded to two decimal places, is equal to 180 - ((180 / 7) x 2) = 128.57 degrees.

The equation for the size of an interior angle of an n-sided regular polygon is (n-2)180/n. When n=7, the interior angle of a regular sided shape would be 5x180/7 or approximately 128.57. The polygon in the question has an interior right angle (90 degree angle) and thus cannot be a regular shape. A 7 sided shape is called a heptagon. Thus, the shape described in the question is an irregular heptagon.

An irregular septagon: the right-angle will prevent it being regular.

Each interior angle of a regular 7 sided polygon is 128 degrees 34 minutes and 17.14 seconds

The interior angles of a 7 sided polygon add up to 900 degrees

543

Not to 1000 degrees but a 7 sided polygon's interior angles add up to 900 degrees

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.

It's 900 degrees, and it doesn't matter whether the 7-sided polygon is regular or not.

To answer this question it has to be assumed that it is a regular polygon ie with equal angles. Sum of the interior angles = (7-2)*180 = 5*180 = 900 degrees So each interior angle = 900/7 = 128.57 degrees.

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