2007-01-26 17:47:03 · 9 answers · asked by Nadare 2 in Science & Mathematics ➔ Mathematics
In general, (n-2)*180deg
So for a heptagon, 5*180deg = 900deg.
2007-01-26 17:51:10 · answer #1 · answered by smci 7 · 0⤊ 0⤋
Quoted :
"(7-2)(180) = 900 degrees because the polygon can be cut into 5 triangles"
Sorry, have to correct this one :
* The polygon with 7 sides (called heptagon) can be divided into 7 triangles
* The sum of the interior angles of a triangle is always 180 (could be proven by corner theory)
* Therefore 7 triangles = 7 * 180 degree but don't forget that the 7 corner of these 7 triangles in the center of the heptagon will contribute a 360 degree that IS NOT counted toward the sum of interior angles of the original heptagon.
* Therefore the actual sum is : 7*180 - 360 or (7-2)*180 degree
* This holds true for all closed, no self intersecting polygon. The general equation is (N - 2) * 180
I hope this helps
Best regards,
-septerra-
2007-01-26 18:13:31 · answer #2 · answered by septerra 2 · 0⤊ 0⤋
The sum of the interior angles of a Regular polygon is given by the formula=2(n-2)*90 (where n is the no. of sides). Here n=7, so the sum is 900. Think rationally, a polygon with 4 sides can be cut into 2 triangles, one with 5 sides can be cut into 3 triangles, one with 6 sides can be cut into 4 triangles, one with 7 sides can be cut into 5 triangles. So the measure of the interior angles of 5 triangles is 900 degrees.
2007-01-26 18:12:02 · answer #3 · answered by ArindagR8 1 · 0⤊ 0⤋
The sum of interior angles of apolygon is given by the simple formula(2n-4)right angles,where n is the number of sides of the polygon
Therefore a heptagonal will have(14-4)X90 or 900 degrees as the sum of its interior angles.
Please note that the sum of the exterior angles of a polygon is always 360 degrees irrespective of its number of sides.
2007-01-26 18:36:25 · answer #4 · answered by alpha 7 · 0⤊ 0⤋
7 9
2016-05-24 04:31:41 · answer #5 · answered by ? 4 · 0⤊ 0⤋
A 7 sided polygon
Ans: (7-2)180=5*180
=900 degrees
2007-01-27 00:25:03 · answer #6 · answered by Nadz 1 · 0⤊ 0⤋
like 900 degrees? there are 360 degrees in the outer angles for all polygons. divide 360 by 7. subtract that from 180 and multiply by 7 for the number of sides...900
2007-01-26 17:52:02 · answer #7 · answered by lalalalalala 2 · 0⤊ 0⤋
(7-2)(180) = 900 degrees because the polygon can be cut into 5 triangles.
2007-01-26 17:51:35 · answer #8 · answered by sahsjing 7 · 0⤊ 0⤋
You've post 5 very similar problems in a short period of time. Are you going to get the people here to do all of your homework?
2007-01-26 18:34:17 · answer #9 · answered by modulo_function 7 · 0⤊ 0⤋