SOLUTION: Suppose the ratio of the angle measures of a triangle is 2:3:4. Find the measure of each angle. and also, Suppose the ratio the angle measures of a triangle is a:b:c, where a

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Question 216103: Suppose the ratio of the angle measures of a triangle is 2:3:4. Find the measure of each angle.
and also,
Suppose the ratio the angle measures of a triangle is a:b:c, where a, b, and c are positive numbers. Find the measure of each angle in terms of a, b, and c.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A=2k, B=3k, C=4k

2k%2B3k%2B4k=%22180%B0%22
9k=%22180%B0%22
k=%2220%B0%22

A=2k=%222%2820%B0%29%22=%2240%B0%22,
B=3k=%223%2820%B0%29%22=%2260%B0%22,
C=4k=%224%2820%B0%29%22=%2280%B0%22

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A=ak, B=bk, C=ck

ak%2Bbk%2Bck=%22180%B0%22
k%28a%2Bb%2Bc%29=%22180%B0%22
k=180%2F%28a%2Bb%2Bc%29°

A=ak=a%28180%2F%28a%2Bb%2Bc%29%29=%28180a%29%2F%28a%2Bb%2Bc%29°
B=bk=b%28180%2F%28a%2Bb%2Bc%29%29=%28180b%29%2F%28a%2Bb%2Bc%29°
C=ck=c%28180%2F%28a%2Bb%2Bc%29%29=%28180c%29%2F%28a%2Bb%2Bc%29°