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.
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.
135 per angle, 1080 total -hannah m
The 8 interior angles of an octagon add up to 1,080 degrees.
45 degrees....
1,080
The sum of all the interior angles of a regular octagon is 360 degrees.
the total measure of a regular octagon is 1080 degrees
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.
The exterior angles of an octagon total 360 degrees.
1080
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.
12 x 90 = 1080 degrees
Eight - that is why it is called an octagon.
1080 degrees total 135 degrees each angle
The interior angles of an octagon add up to 1080 degrees 1080 degrees in total, 135 each.
Exterior degrees 360 Interior degrees 1080
It takes 6 triangles and 6*180 = 1080 degrees which are the total degrees in an 8 sided octagon