SOLUTION: what is the answer to this question. the measure of the three angles of a certain triangle are in the ratio 3:2:1. what are the degrees measures of these angles

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Question 700858: what is the answer to this question. the measure of the three angles of a certain triangle are in the ratio 3:2:1. what are the degrees measures of these angles

Answer by CRandunu(8)   (Show Source): You can put this solution on YOUR website!
let three angles of triangle be a,b,c
we know a+b+c=180 degrees-----------(1)
but we know angles ratio
hence a:b:c= 3:2:1 =3c:2c:c
according to this ratio we can write
a=3c , b=2c ,c=c
from (1) 3c+2c+c=180
c=30 degrees
hence a=3c=90 degrees
b=2c=60 degrees
hence three angles are in degrees 90,60,30

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