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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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    @CBARREDO1

  2. anonymous
    • one year ago
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    @ganeshie8 @Hero

  3. ganeshie8
    • one year ago
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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 ?

  4. ganeshie8
    • one year ago
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    |dw:1438318943564:dw|

  5. anonymous
    • one year ago
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    i got 30 15

  6. anonymous
    • one year ago
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    not 30, 15

  7. ganeshie8
    • one year ago
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    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

  8. anonymous
    • one year ago
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    okay so say if your finding an angle like KAH how would you find it

  9. ganeshie8
    • one year ago
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    First find the central angle : 30+30+30 = 90 |dw:1438319490988:dw|

  10. ganeshie8
    • one year ago
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    simply divide that central angle by 2 to get the inscribed angle KAH

  11. anonymous
    • one year ago
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    45

  12. anonymous
    • one year ago
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    and the arc of FB would be 180?

  13. anonymous
    • one year ago
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    @ganeshie8

  14. ganeshie8
    • one year ago
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    try again

  15. ganeshie8
    • one year ago
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    |dw:1438320476460:dw|

  16. anonymous
    • one year ago
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    120

  17. ganeshie8
    • one year ago
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    Yep, arc FB intercepts 120 degrees at the center, so we say arc measure of FB is 120 degrees.

  18. anonymous
    • one year ago
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    ok thank got my calculations wrong i just have one more JNH and ANE would measure up to 180 right?

  19. ganeshie8
    • one year ago
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    180 degrees is a flat straight angle : |dw:1438321024820:dw|

  20. ganeshie8
    • one year ago
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    do the angles JNH and ANE really look flat ?

  21. anonymous
    • one year ago
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    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

  22. ganeshie8
    • one year ago
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    they are not flat, good, lets figure out how to find that angle

  23. ganeshie8
    • one year ago
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    Use trianlge exterior angle theorem in triangle AJN : \[\angle ANE = \angle AJN + \angle NAJ\] |dw:1438321365859:dw|

  24. ganeshie8
    • one year ago
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    Can you find the angles AJN and NAJ ?

  25. anonymous
    • one year ago
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    well woul triangle ANJ be a special right triangle?

  26. ganeshie8
    • one year ago
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    find the angles and see

  27. anonymous
    • one year ago
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    Im not sure right now if I'm getting the right answer

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