Calculating angles for pool deck

I have an oval pool with 12 short angled segments (6 one each side) plus the 2 long parallel segments. If my framing for a deck surround eminates from the pools virtual center, and the deck planking is kept parallel to each angled pool wall segment, does 15 degress sound like the correct angle which the planks ends will be cut on?
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the 2

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From your description, yes--I can email you a .jpg screenshot of the cad layout I used to verify if you have any reservations, but Im pretty sure you described the situation quite well.
A protracter set at either 75 or 105 degrees will get you there, as these are both 15 degrees off from 90.
Rafter layouts and these kinda thing are handy secondary uses for my cad systems--someday Im gonna build a seven-sided gazebo......
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no?
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Okay, I did it again........and this time came out with a different number.....
Now, radiating from the center would give a different angle for each wall, so I calculated from the center radius of each end this time, and started with 14 sides instead of 12.
You coming up with 77.1429 degrees ?
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Thanks to all who responded I got the answer. Keep it simple, it's an oval pool but you can just think of it as a round, 12-segment pool.
A circle split into 12 segments will have 12 30 degree segments. Deck boards cut to fit each segment will have a 15 degree cut.
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I'm not thinking real clearly right now but I think it depends on the "paired" angle cuts.
If the ends peices meet with 90 cuts then 15 deg is correct.
If the end cuts are part of the oval then I think 12.86 deg is correct.
If it was me I build a small scale model out of scrap material before I committed to the real thing.
cheers Bob
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As I read your description, your pool has straight sides with semicircular ends. In this case, the six end segments would be beveled 15 degrees from square at each end. That's a total of 12 bevels times 15 degrees or a total of 180 degrees (a half circle). The ends of the straight sections would not be beveled.
Geometry -- when I was in high school we asked the instructor what anyone would use that for. He couldn't answer. Then, after graduation, my very first job was on a survey crew!
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