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135
36
24

2006-10-08 16:22:10 · 5 answers · asked by prettiful! 1 in Science & Mathematics Mathematics

the numbers are a measure of an angle in a regular polygon and i need to find how many sides the polyogn wood have

2006-10-08 16:32:19 · update #1

5 answers

simple formula if n sides then (n-2) * 180 degrees. is total, here we go

135)
135n = 180n - 360 or 45n = 360 n = 8

36)
36n = 180n - 360 or 144n = 360 n is not integer no soulution

similarly no solution for 24

2006-10-08 17:34:10 · answer #1 · answered by Mein Hoon Na 7 · 0 0

That equals 195 degrees and a three-sided polygon (triangle) equals 180 degrees, so it would have to be more than three sides. It could be 4 sides equal to 360 degrees if there was a missing angle's degree. Not sure there is enough info.

2006-10-08 23:41:31 · answer #2 · answered by divinestine 2 · 0 0

Any polygon, regular or irregular, complex or simple, has as many angles as it has sides.

The sum of the interior angles of a simple n-gon is (n−2)π radians or (n−2)180 degrees

The measure of any interior angle of a regular n-gon is (n−2)π/n radians or (n−2)180/n degrees.

1.135DEG:
n.135=n-2*(180)
n.=n-2*(180/135)
n=n-2*4/3
3n=4n--8
n=8
2. n.36=n-2*180
n.=n-2*5
n=5n-10
5n-n=10
4n=10
n=5/2=2.5
3. n.24=n-2*180
n=n-2*180/24
n=n-2*7.5
n=7.5n-15
6.5n=15
n=15/6.5
n=2.31

2006-10-09 01:51:57 · answer #3 · answered by Anonymous · 0 0

The numbers of what?

2006-10-08 23:28:35 · answer #4 · answered by Computer Guy 7 · 0 0

What are those numbers? Add details and maybe someone will help you.

2006-10-08 23:29:35 · answer #5 · answered by Fall Down Laughing 7 · 0 0

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