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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

bob bundy
2013-08-12 16:57:31

Well I hope so.  Fingers crossed this time.  smile

Bob

mathstudent2000
2013-08-12 09:18:39

so its 72?

bob bundy
2013-08-12 05:05:22

Curious.  See diagram.  I should appeal that mark. 

Hold a mo.  It says rotate about U.    I had assumed it was being rotated about the centre.  I'm having a rethink.

Rethink done.  Many apologies.  I didn't read the question properly.  I had assumed we were rotating around the centre of the decagon.  But the centre is U.  Refer to second diagram below.

The angle you want is XUR.

There's a theorem that the angle at the centre of a circle, XCR, is twice the angle at the edge, XUR.

http://www.mathisfunforum.com/viewtopic.php?id=17799

post 6

Bob

mathstudent2000
2013-08-12 02:48:17

but its wrong

bob bundy
2013-08-11 06:45:10

Yes, well done.  smile

Bob

mathstudent2000
2013-08-11 06:24:56

ok so is \theta 144 degrees?

bob bundy
2013-08-11 06:18:55

If you rotate just enough to move all the points on just one place, let's call the an angle of D degrees.

If you repeat D ten times you get back to where you started, so 10D = 360.

Bob

mathstudent2000
2013-08-11 06:00:35

OPQRSTUVWX is a regular decagon. A rotation of \theta degrees about U maps X to R. Given \theta < 180 degrees, find \theta

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