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2015-09-29T01:43:24+05:30

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30 A + 6 B = 5 C          we know  C = 180 - A - B

35 A + 11 B - 900  = 0
5 * (7 A - 180) =  11 B

On both sides we have prime numbers...  So  B has to be a  multiple of 5.  and (7A - 180) must be a multiple of  11.

   5 * (7 A - 180) = 11 * (5 n)
    =>     7 A - 180 = 11 * n
    =>    7 A = 25 * 7 + 7 * n +  (5 + 4 n)
               thus  5 + 4 n must be a multiple of 7....

   n = 4, 11, 18  will satisfy this condition.
       A = (11 *n + 180)/ 7    gives  angles    32°,  43°,  54°  respectively
       B =  20°, 55°,  90°  respectively
     then  C = 180 - A - B =  138 deg,  82,  36  respectively.


1 5 1
2015-09-29T18:53:44+05:30
DIVIDE THROUGHOUT BY 30
30A/30 = 6B/30 = 5C/30
THEN,
A/1 = B/5 =C/6
A:B:C =1:5:6
1x +5x +6x
add them and we get 
12x=180
x=180/12 = 15
x=15
<A=15X 1 =15DEGREE
<B =15X 5= 75 DEGREE
<C=15X 6 +90 DEGREE

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