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By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon

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Q: How do you calculate the total degrees inside of a polygon?
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A polygon has interior angle 165 degrees how many sides has it?

A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.


What is the interior angle of a 17 sided shape?

Assuming it is regular, the total degrees of an n-sided polygon = 180(n-2) = 2700. 2700/17 = 158.23 degrees


Measurement of exterior angles of a hexagon?

The total sum of exterior angles of any polygon is 360 degrees. So if it is a regular hexagon it would have 6 exterior angles of 60 degrees.


Degrees in a pentagon?

In a regular pentagon:The total degree of a pentagon is 540. Since there are 5 sides in a pentagon, your answer is 540/5 = 108The formula for the total degrees in a closed polygon is 180(n-2), where n is the number of sides. For a pentagon, it would be 180(5-2) = 180(3) = 540.


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

Related questions

What is the total interior angle of aregular polygon if t equals 20 triangles can be drawn inside the polygon?

The total angles will be 3600 degrees, because each triangle will have 180 degrees total.


What is the total interior angle of a regular polygon if 20 triangles can be drawn inside the polygon?

20 triangles will fit into a 22 sided polygon whose interior angles add up to 3600 degrees


How many degrees are in a polygon?

The total number of degrees depends on what kind of polygon is in question. To learn the total degrees in a convex polygon, one can use the equation (n-2)180 where n is the number of sides.


How many exterior degrees does a four-sided polygon have?

The exterior angles of every polygon total 360 degrees.


Total degrees of a 7 sided polygon?

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


Are there 300 degrees in the sum of the interior angles of a polygon?

No - the interior angles of a polygon must total at least 360 degrees.


What are the total degrees of a 3 sided polygon?

180.


What Polygon has angles that total 180 degrees?

a triangle


How many dergrees are there in a decagon?

A decagon is ten sided. The total of all the angles inside the corners of an n-sided polygon is (n-2)x180 degrees. So for 10 sides this is 8x180=1440 degrees. The polygon does not even have to have equal sides.


How many sides does a regular polygon have with an interior of 178 degrees?

It has 180 sides if the interior of the (regular) polygon has a total of 178 'degrees'.


What type of polygon carries a total angle of 1800 degrees?

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If the area of the polygon is 1440 how many sides does the polygon have?

If you mean the total number of degrees is 1440 then the polygon is a decagon and has 10 sides.