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Find a point angle of a regular seven-point star

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SVP
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Find a point angle of a regular seven-point star [#permalink] New post 19 Dec 2003, 09:15
Find a point angle of a regular seven-point star.
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 [#permalink] New post 19 Dec 2003, 10:34
interior angles adds to : 540 (360+180)

540/7 =~ 77.1
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77.x [#permalink] New post 19 Dec 2003, 12:01
Close to DJ's answer but dont understand his approach.
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Re: 77.x [#permalink] New post 19 Dec 2003, 12:04
mantha wrote:
Close to DJ's answer but dont understand his approach.


simplified septagram is a quard + a triangle.
sum of angles= (360 + 180) = 540

it's a regular septa., thus, 540/7
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 [#permalink] New post 19 Dec 2003, 13:31
agree partially with wondergmat, 360/7=51,4 but think we should divide this by 2 since this is an interior angle. If the star is 5 point 360/5= 72┬░ this is the degree of the respective sector of the circle , but the point angle is 72/2=36┬░, if i understand correctly what point angle means. My answer is 51.4/2=25.7┬░
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 [#permalink] New post 20 Dec 2003, 07:09
yeah... a correct approach. Inscribe a septigram into a circle and play with central angles.

PA=360/[7*2]=360/14=25.71
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 [#permalink] New post 20 Dec 2003, 07:12
yeah... a correct approach. Inscribe a septigram into a circle and play with central angles.

PA=360/[7*2]=360/14=25.71
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 [#permalink] New post 20 Dec 2003, 08:26
yes indeed. I drew it like this and that was a blunder :(
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 [#permalink] New post 21 Dec 2003, 00:54
it is not a regular star
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 [#permalink] New post 21 Dec 2003, 03:12
Is it possible without any other information provided?
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 [#permalink] New post 21 Dec 2003, 14:18
Could anyone please define a point angle.
Thanks
  [#permalink] 21 Dec 2003, 14:18
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Find a point angle of a regular seven-point star

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