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April 16th, 2013, 10:43 AM  #1 
Newbie Joined: Apr 2013 Posts: 2 Thanks: 0  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! 
April 16th, 2013, 10:53 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,927 Thanks: 2205 
The link you provided is not working for me.

April 16th, 2013, 10:59 AM  #3 
Newbie Joined: Apr 2013 Posts: 2 Thanks: 0  Re: Circle theorem help!
Hmm, I've reuploaded it onto a different hosting website. Does this work?  http://i166.photobucket.com/albums/u107 ... 18hpb7.jpg 
April 16th, 2013, 08:54 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,927 Thanks: 2205 
[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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