anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@CBARREDO1
anonymous
  • anonymous
@ganeshie8 @Hero
ganeshie8
  • ganeshie8
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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More answers

ganeshie8
  • ganeshie8
|dw:1438318943564:dw|
anonymous
  • anonymous
i got 30 15
anonymous
  • anonymous
not 30, 15
ganeshie8
  • ganeshie8
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
anonymous
  • anonymous
okay so say if your finding an angle like KAH how would you find it
ganeshie8
  • ganeshie8
First find the central angle : 30+30+30 = 90 |dw:1438319490988:dw|
ganeshie8
  • ganeshie8
simply divide that central angle by 2 to get the inscribed angle KAH
anonymous
  • anonymous
45
anonymous
  • anonymous
and the arc of FB would be 180?
anonymous
  • anonymous
@ganeshie8
ganeshie8
  • ganeshie8
try again
ganeshie8
  • ganeshie8
|dw:1438320476460:dw|
anonymous
  • anonymous
120
ganeshie8
  • ganeshie8
Yep, arc FB intercepts 120 degrees at the center, so we say arc measure of FB is 120 degrees.
anonymous
  • anonymous
ok thank got my calculations wrong i just have one more JNH and ANE would measure up to 180 right?
ganeshie8
  • ganeshie8
180 degrees is a flat straight angle : |dw:1438321024820:dw|
ganeshie8
  • ganeshie8
do the angles JNH and ANE really look flat ?
anonymous
  • anonymous
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
ganeshie8
  • ganeshie8
they are not flat, good, lets figure out how to find that angle
ganeshie8
  • ganeshie8
Use trianlge exterior angle theorem in triangle AJN : \[\angle ANE = \angle AJN + \angle NAJ\] |dw:1438321365859:dw|
ganeshie8
  • ganeshie8
Can you find the angles AJN and NAJ ?
anonymous
  • anonymous
well woul triangle ANJ be a special right triangle?
ganeshie8
  • ganeshie8
find the angles and see
anonymous
  • anonymous
Im not sure right now if I'm getting the right answer

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