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April 16th, 2013, 10:43 AM   #1
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Circle theorem help!

Hello guys I have been stuck on a few question. Mainly the last 8 and would it be possible if someone can explain how to do the questions? Would be much appreciated. Thank you!
http://tinypic.com/view.php?pic=118hpb7&s=6
On question 17, the letter not shown properly is meant to be 'e'.
Thank you for your time!
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April 16th, 2013, 10:53 AM   #2
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The link you provided is not working for me.
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April 16th, 2013, 10:59 AM   #3
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Re: Circle theorem help!

Hmm, I've re-uploaded it onto a different hosting website.
Does this work? - http://i166.photobucket.com/albums/u107 ... 18hpb7.jpg
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April 16th, 2013, 08:54 PM   #4
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[attachment=0:2dvnw5mk]118hpb7.jpg[/attachment:2dvnw5mk]
13.  t = 2*32° = 64°; t + 2n = 180°, so n = 58°.
14.  a = 50° - 18° = 32°. Angle ACB = 90°, so b = c = 40°.
15.  4a + a + a + c = 180° and c = 4a, so a = 18° and c = 72°.
16.  Angle BDC = 35° and angle ADC = 90°, so x = 55°.
17.  f = e = g and e + g = 82°, so e = f = g = 41°.
18.  Angle BAC = 32° and angle OAC = 40°, so z = 8°.
19.  x = (180° - 120°)/2 = 30°, so y = 180° - 95° + 30° = 115°.
20.  Angle OAB = 50°, so x = 180° - 50° - 50° = 80°.
       Angle BAC = angle BCA = x/2 = 40°, so z = 50° - 40° = 10°.
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