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1080 Consider an octagon. Now draw a line along one side, and extend it a little beyond the angle where it turns to the next side.

If you think this through, you'll see that if you repeated this exercise 8 times around the octagon, you'd now be alongside the first line. In other words, you have turned 360 degrees.

So 360o for 8 turns, = 360/8 = 45o for each turn. That angle is the angle turned through. Therefore the internal angle is 180o - 45o = 135o.

The same experiment for pentagon, regular triangle and so on.
The 8 interior angles of an octagon add up to 1080 degrees.

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Q: What is the total number of degrees for an octagon?
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Related questions

What are the total number of degrees of all the interior angles of a regular octagon?

The sum of all the interior angles of a regular octagon is 360 degrees.


What is the total measure of a octagon?

the total measure of a regular octagon is 1080 degrees


How many degress does a octagon have?

An octagon has 1080 degrees total. You can find this by using the fact that the interior angles of a regular n-gon are (n-2)*180/n degrees. Multiplying that number by n gives the total number of degrees in the n-gon.


What are the out side angles of an octagon?

The exterior angles of an octagon total 360 degrees.


What is the total amount of degrees in an octagon?

1080


In maths how many degrees does an octagon add up to altogether?

The number of degrees in any geometric shape is 180*(n-2) where n is equal to the number of side. Since an octagon has 8 sides, there would be 180*6 or 1080 degrees total in the entire shape.


What is the total sum of degrees in an octagon?

12 x 90 = 1080 degrees


Total number of angles in an octagon?

Eight - that is why it is called an octagon.


How many degrees are in a regular octagon?

1080 degrees total 135 degrees each angle


What is the measure of the interior angles of an octagon?

The interior angles of an octagon add up to 1080 degrees 1080 degrees in total, 135 each.


How many dgrees does a octagon have in total?

Exterior degrees 360 Interior degrees 1080


How many triangle s does it take to make a octagon?

It takes 6 triangles and 6*180 = 1080 degrees which are the total degrees in an 8 sided octagon