The circle design is based on twelve equally spaced points placed around the circumference of the circle. As the group lays out the design, the measure of angle GAH is ____ degrees, to the nearest degree. (Enter only the number.) http://cds.flipswitch.com/tools/asset/media/110874

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The circle design is based on twelve equally spaced points placed around the circumference of the circle. As the group lays out the design, the measure of angle GAH is ____ degrees, to the nearest degree. (Enter only the number.) http://cds.flipswitch.com/tools/asset/media/110874

Mathematics
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A full circle is 360 degrees, so when you divide it 12 equal parts, how much angle does each part make ?

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|dw:1438318943564:dw|
i got 30 15
not 30, 15
Yes, GH intercepts an angle of 360/12 = 30 at the center. Angle GAH is the inscribed angle of GH, so it must be 30/2 = 15
okay so say if your finding an angle like KAH how would you find it
First find the central angle : 30+30+30 = 90 |dw:1438319490988:dw|
simply divide that central angle by 2 to get the inscribed angle KAH
45
and the arc of FB would be 180?
try again
|dw:1438320476460:dw|
120
Yep, arc FB intercepts 120 degrees at the center, so we say arc measure of FB is 120 degrees.
ok thank got my calculations wrong i just have one more JNH and ANE would measure up to 180 right?
180 degrees is a flat straight angle : |dw:1438321024820:dw|
do the angles JNH and ANE really look flat ?
oh well at first I took 180x.5 to get 90 but I wasnt sure and no its not 180 because they are not flat
they are not flat, good, lets figure out how to find that angle
Use trianlge exterior angle theorem in triangle AJN : \[\angle ANE = \angle AJN + \angle NAJ\] |dw:1438321365859:dw|
Can you find the angles AJN and NAJ ?
well woul triangle ANJ be a special right triangle?
find the angles and see
Im not sure right now if I'm getting the right answer

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