# In triangle abc angle 30a+ 6b=5c determine angle a ,angle b and angle c.Can the answer please be given in full detail.

2
by iamryanjay

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

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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.

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