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The sum of the interior angles of a polygon is (n-2)*180 degrees = 5*180 = 900 degrees.

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Q: What do the angles inside a heptagon add up to Show me the work?
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Approximately how many degrees are in the measure of an interior angle of a regular heptagon?

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


How many do all the angles in heptagon add up to?

900 degrees.To work it out, draw a regular heptagon and draw a line from one point to every other. You should be left with some triangles. Count them and multiply the amount by 180. The answer is the amount of degrees in that shape.This same technique works for all shapes.


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Let its biggest angle be x:- If: 0.5x+0.5x+x+x = 360 degrees Then: 3x = 360 => x = 360/3 => x = 120 degrees Therefore inside angles are: 60+60+120+120 = 360 degrees


How do you find the area of a heptagon?

The following two methods can find the area of a regular heptagon. These methods will not work on an irregular heptagon. Multiply the length of one side by 7/4 and then by the cotangent of a 25 5/7 degree angle. Multiply the perimeter by the distance from the center to the middle of a side, then divide by two. You must know the length of a side to calculate the area of a heptagon. Area = n (s/2)^2 / tan( pi /n) where n=7; s=side length A septagon is a seven sided figure. Given a regular septagon (with seven sides of equal length), the formula for the area is 7/4 (a^2) * cot (180 degrees/7), where a is the length of one side.


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What are the interior angles of a parallelogram when two of its angles are 2x and x degrees?

They work out as two equal opposite angles of 120 degrees and two equal opposite angles of 60 degrees.


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