## anonymous one year ago i need help .. please

1. anonymous

2. ckallerid

I'm sorry but did they mention any other angle's degree??

3. anonymous

no they didnt

4. anonymous

no one likes this kind of geometry do they?

5. anonymous

no lol

6. anonymous

i dont get it

7. anonymous

i am sure it is doable though lets see what we can come up with

8. anonymous

okay thanks

9. anonymous

let me try to draw it

10. anonymous

okay

11. anonymous

damn screwed up already, go the sides wrong gotta start over

12. anonymous

|dw:1442803070373:dw|

13. anonymous

alrighty

14. anonymous

|dw:1442803248679:dw|

15. anonymous

okay.. how do i figure out the measurements?

16. anonymous

now lets fill in the 72 we didn't do that yet

17. anonymous

|dw:1442803341238:dw|

18. anonymous

now we can find angles RSQ and RQS because the are equal in the internal angles of a triangle add up to 180 we have used up 72 already, that leaves $$180-72=108$$ halve of that is $$54$$ so each of those must be 54

19. anonymous

|dw:1442803491836:dw|

20. anonymous

seem reasonable?

21. anonymous

yes it does but do we put 54 as the answer or what do we put

22. anonymous

54 is the answer to the first two questions

23. anonymous

oh okay

24. anonymous

now lets fill in another since a line also has 180 degrees we can find $$180-54=126$$

25. anonymous

|dw:1442803708556:dw|

26. anonymous

okay

27. anonymous

that is angle SQP number 4 in your questions

28. anonymous

the third and 5th are like before subtract $$126$$ from $$180$$ then divide by 2

29. anonymous

27?

30. anonymous

can you help me with another part? @satellite73

31. anonymous

yeah 27

32. anonymous

you mean there is more? taxing my brain already, but i can look

33. anonymous

34. anonymous

ok they are all equal and they all add up to 180 i guess we can solve that with some algebra (i hope)

35. anonymous

$3a+4+6b+19c+3=180$ and $3a+4=6b=19c+3$

36. anonymous

this is going to suck a bit how is your algebra?

37. anonymous

oh my favorite algebra (sarcasm)

38. anonymous

okay

39. anonymous

we can also write each of the bottom equations in terms of one variable maybe $$b$$

40. anonymous

okay okay i kinda get it

41. anonymous

so far so good? we have $$a$$ in terms of $$b$$

42. anonymous

actually i am being a little stupid here, lets work smarter

43. anonymous

oh

44. anonymous

clear or no? just subtracted is all

45. anonymous

i got it

46. anonymous

ok now we can solve but before we do that, let me say that i am really stupid tonight

47. anonymous

all the sides are the same, so all the angles are the same since they add up to 180, they are all 60

48. anonymous

no youre fine

49. anonymous

if $$6b=60$$ then $$b=10$$

50. anonymous

so a b c are 60?

51. anonymous

no $$6b=60$$ so $$b=10$$

52. anonymous

oh okay

53. anonymous

and also $3a+4=60$ so $3a=56$ making $a=\frac{54}{3}$

54. anonymous

A - 18?

55. anonymous

and finally $19c+3=60$ so $19c=57$ making $c=\frac{57}{19}$

56. anonymous

A=18 sorry

57. anonymous

typo there $3a+4=60\\ 3a=56\\ a=\frac{56}{3}$ it is not a whole number

58. anonymous

so a and c arent whole numbers and thats okay

59. anonymous

actually c is a whole number

60. anonymous

$57\div 19=3$

61. anonymous

oh okay

62. anonymous

only a is not a whole number this was not nearly as hard as it looks, just had to solve 3 equations $3a+4=60\\ 6b=60\\ 19c+3=60$

63. anonymous

is there more or are we done?

64. anonymous

that was it thank you so much !!

65. anonymous

yw now i have a question

66. anonymous

why are you legendary?

67. anonymous

is that a serious question? lol

68. anonymous

sorta just a nick name or did you make it up?

69. anonymous

nick name

70. anonymous

cool lol