2007-11-20 18:51:20 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Well, think of it as a pie with 8 triangular slices.
Each one has a vertex angle of 360/8 = 45 degrees.
The sum of the other two (equal) angles of a triangle is 180-45 = 135 degrees.
If you draw a picture, you'll quickly see that the answer to your question is also 2*135/2 = 135 degrees.
2007-11-20 18:57:16 · answer #1 · answered by Curt Monash 7 · 1⤊ 0⤋
Answer: 135
The sum of the angles of the polygons is 180(n-2) or 180 times (n-2). n represents the amount of sides there are. There are 8 sides in an octagon so it would be 180 x (8-2). After you subtract 8-2 you get 6. 180 x 6 is 1,080 so the sum of the degrees of angles in an octagon is 1,080 degrees. There are 8 sides to a polygon so you divide 1,080 by 8 and you would get 135 degrees as the answer.
2007-11-20 19:06:04 · answer #2 · answered by Anonymous · 0⤊ 0⤋
the total of all the angles in a polygon is found using this formula.. (n-2)180
n being the number of sides. In an octagon that will be (8-2)180 = 1080. Therefore, each angle in your octagonal table should measure 1080/8 = 135 degrees.
2007-11-20 19:05:12 · answer #3 · answered by auztik 2 · 0⤊ 0⤋
Your octagon is made up of 8 isosceles triangles which have the two equal sides each = 3 feet and the included angle = 360/8 = 45 degrees. So The side = sqrt(3^2+3^2 - 2*3*3cos45). This turns out to be 2.3 feet.
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2016-04-14 03:39:31 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Regular polygons are made of equal isosceles triangles that meet at the center, so the angle at the apex is simply 360/n or in this case 360/8 = 45 degrees.
The angles at the base of each triangle then add up to 180 minus 45 = 135 degrees, and since they are equal this is also the interior angle of each vertex (2 * 135/2 ).
2007-11-20 19:01:33 · answer #5 · answered by hznfrst 6 · 0⤊ 0⤋
each exterior angle= 360/8 =45
each interior =180-45=135
2007-11-21 01:58:52 · answer #6 · answered by a c 7 · 0⤊ 0⤋
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2014-09-29 21:48:25 · answer #7 · answered by Anonymous · 0⤊ 0⤋
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2015-01-25 10:22:00 · answer #8 · answered by Anonymous · 0⤊ 0⤋
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2015-05-04 17:02:09 · answer #9 · answered by Anonymous · 0⤊ 0⤋
the sum of all angles in an octagon /8 will be ur answer
2007-11-20 19:03:54 · answer #10 · answered by Anonymous · 1⤊ 1⤋