## 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

• This Question is Open
1. anonymous

@CBARREDO1

2. anonymous

@ganeshie8 @Hero

3. ganeshie8

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

4. ganeshie8

|dw:1438318943564:dw|

5. anonymous

i got 30 15

6. anonymous

not 30, 15

7. 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

8. anonymous

okay so say if your finding an angle like KAH how would you find it

9. ganeshie8

First find the central angle : 30+30+30 = 90 |dw:1438319490988:dw|

10. ganeshie8

simply divide that central angle by 2 to get the inscribed angle KAH

11. anonymous

45

12. anonymous

and the arc of FB would be 180?

13. anonymous

@ganeshie8

14. ganeshie8

try again

15. ganeshie8

|dw:1438320476460:dw|

16. anonymous

120

17. ganeshie8

Yep, arc FB intercepts 120 degrees at the center, so we say arc measure of FB is 120 degrees.

18. anonymous

ok thank got my calculations wrong i just have one more JNH and ANE would measure up to 180 right?

19. ganeshie8

180 degrees is a flat straight angle : |dw:1438321024820:dw|

20. ganeshie8

do the angles JNH and ANE really look flat ?

21. 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

22. ganeshie8

they are not flat, good, lets figure out how to find that angle

23. ganeshie8

Use trianlge exterior angle theorem in triangle AJN : \[\angle ANE = \angle AJN + \angle NAJ\] |dw:1438321365859:dw|

24. ganeshie8

Can you find the angles AJN and NAJ ?

25. anonymous

well woul triangle ANJ be a special right triangle?

26. ganeshie8

find the angles and see

27. anonymous

Im not sure right now if I'm getting the right answer