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at what angle would they intersect at??

2006-09-19 18:41:12 · 8 answers · asked by Anonymous in Science & Mathematics Mathematics

8 answers

There is no way to tell. If the pentagon is regular, then the angle is 108 degrees; otherwise, it can be any combination of numbers between 0 and 180 that adds up to 540.

2006-09-19 18:45:48 · answer #1 · answered by Anonymous · 0 0

A polygon with equal length sides and equal interior angles is called a regular polygon.
3*60=180,1=180*(3-2)
4*90=360=180*2=180*(4-2)
6*120=720=180*4=180*(6-2)
8*135=1080=180*6=180*(8-2)
n*A=180*(n-2)
The internal angle A of any n-sided regular polygon =
A = 180(n-2)/n
For a pentagon,
A = 180(5-2)/5

Note that the triangle is the only polygon with equal length sides that MUST have all interior angles equal.

2006-09-20 02:15:51 · answer #2 · answered by Helmut 7 · 0 0

The sum of interior angles of a polygon is equal to (n-2)*180, where n is the number of sides. Therefore, the sum of interior angles of a pentagon is 540 degrees.

For each vertex of a regular polygon, the interior angle is 540/5, or 108 degrees.

2006-09-20 01:47:34 · answer #3 · answered by Joseph Q 2 · 0 0

for an equilateral triangle this is (3-2)*180/3 = 60
for a square this is (4-2)*180/4 = 90
for pentagon this will be (5-2)*180/5 = 108

2006-09-20 01:52:22 · answer #4 · answered by Amrendra 3 · 0 0

108

2006-09-20 01:48:24 · answer #5 · answered by lkamh 2 · 0 0

sum of interior angles (polygon) = (n-2)*180,
in it, n = number of sides
Hence, for pentogon (sum of angles) = 540 degrees.
In regular polygon, the interior angle = 108degree(as 540/5)

but in other cases the all polygon with 5 sides is considered as the pentagon.
obviously due to difference in length gives combinations of various angles

2006-09-20 02:09:24 · answer #6 · answered by c2 brahmin 2 · 0 0

if allsides are equal then all angles would be 108 but otherwise they would always differ!!
cheers

2006-09-20 01:50:38 · answer #7 · answered by Bas 1 · 0 0

that would be 108 degrees

2006-09-20 01:49:40 · answer #8 · answered by Brooke 3 · 0 0

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