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Assuming you mean for example you add a side to a pentagon to get a hexagon, then the sum of the interior angles increases by 180o.

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Q: What happens to the sum of the interior angles of a polygon when a side is added?
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The sum of the measures of the interior angles of a rectangle?

Well, since each angle of a rectangle is 90 degrees, and a rectangle has 4 angles, a rectangle's interior angles added together is 360.


What three sided polygon whose angles equal 180 degrees?

A 3-sided polygon is called a "triangle".The angles of a triangle don't equal 180 degrees.They total 180 degrees when they're added.


What is the total of angles added up together in a pentagon?

For a pentagon, which has 5 sides, you can use the formula: Total Sum of Interior Angles = (5 - 2) * 180 degrees Total Sum of Interior Angles = 3 * 180 degrees Total Sum of Interior Angles = 540 degrees So, the total sum of the interior angles in a pentagon is 540 degrees.


Why does a shape gain 180 degrees every time a side is added to a shape?

I believe this is because you have added an extra angle (consider interior and exterior angle) which is 180 degrees. But, the sum of the exterior angles must always equal 360 degrees. Therefore the whole 180 degrees must be added to the sum of the interior angles. So every side that is added the sum of the interior angles adds up to 180 degrees. Hope that answers your question.


How many degrees in the external angles of a hexagon?

To work out the inside angles, do the number of sides (6) minus 2 (=4) multiplied by 180. *Quick mental calculation* (=720). This is all the interior angles added together, so quickly divide it by 6, which is the number of individual interior angles (=120).Now, do you know you're angles i a straight line? Well, good. Simply take 120 away from 180 (=60) Andd there you have it. The exterior angles of a hexagon are each 60 degrees.* * * * *True, but here is a much simpler answer:The exterior angles of ANY polygon add to 360 degrees. If the polygon is a regular (all angles equal) hexagon (six of them) then each exterior angle is 360/6 = 60 degrees.

Related questions

What is the angle sum of a dodecagon?

2800 degrees * * * * * No. The interior angles of a polygon with n sides is (n-2)*180 degrees. Here, n = 12 so the answer is 1800 degrees. A polygon whose interior angles added to 2800 degrees would have 17 5/9 sides! Since a fractional number of sides is impossible, so is such a polygon.


If the number of sides of a polygon is increased by five by how much would the sum of the interior angles of the polygon increase?

By 900 degrees as for example a triangle has 3 sides that add up to 180 degrees then if 5 sides are added to it then it then is an 8 sided octagon with interior angles that add up to 1080 degrees


The sum of the measures of the interior angles of a rectangle?

Well, since each angle of a rectangle is 90 degrees, and a rectangle has 4 angles, a rectangle's interior angles added together is 360.


What three sided polygon whose angles equal 180 degrees?

A 3-sided polygon is called a "triangle".The angles of a triangle don't equal 180 degrees.They total 180 degrees when they're added.


What is the total of angles added up together in a pentagon?

For a pentagon, which has 5 sides, you can use the formula: Total Sum of Interior Angles = (5 - 2) * 180 degrees Total Sum of Interior Angles = 3 * 180 degrees Total Sum of Interior Angles = 540 degrees So, the total sum of the interior angles in a pentagon is 540 degrees.


What is the angle when 3 triangle angles are added together?

The 3 interior angles in any triangle add up to 180 degrees.


How many degrees in the external angles of a hexagon?

To work out the inside angles, do the number of sides (6) minus 2 (=4) multiplied by 180. *Quick mental calculation* (=720). This is all the interior angles added together, so quickly divide it by 6, which is the number of individual interior angles (=120).Now, do you know you're angles i a straight line? Well, good. Simply take 120 away from 180 (=60) Andd there you have it. The exterior angles of a hexagon are each 60 degrees.* * * * *True, but here is a much simpler answer:The exterior angles of ANY polygon add to 360 degrees. If the polygon is a regular (all angles equal) hexagon (six of them) then each exterior angle is 360/6 = 60 degrees.


Why does a shape gain 180 degrees every time a side is added to a shape?

I believe this is because you have added an extra angle (consider interior and exterior angle) which is 180 degrees. But, the sum of the exterior angles must always equal 360 degrees. Therefore the whole 180 degrees must be added to the sum of the interior angles. So every side that is added the sum of the interior angles adds up to 180 degrees. Hope that answers your question.


What is the measure of an interior angle of a regular three-sided polygon?

well all the angle added together is 180 degrees. but you can have multiple variations of the three angles inside. one example could be 60 degrees on all three angles. another example could be 90 degrees, 45 degrees, and 45 degrees


Is the exterior angle of a triangle is 180 degrees?

The triangle has three exterior angles. Added together, their total is 180 degrees.(Same as the total of the three interior angles when they're added together.)


Which regular polygon has angles measuring 120 degrees and why?

its a hexagon, a regular hexagon has 6 angles that are all the same, when added all together they equal 720 degrees :D


What happens when acute angles are bisected?

you get two angles that are the sum of the original angle but, when added, are the total. (45+45=90)