SOLUTION: The three angles in a triangle always add up to 180 degrees. In a triangle,one angle measures 32 degrees and the second angle is 5 times larger than the third angle. Find the measu

Question 541014: The three angles in a triangle always add up to 180 degrees. In a triangle,one angle measures 32 degrees and the second angle is 5 times larger than the third angle. Find the measures of the angles.
So far I have:
32+x+5x=180
32+6x=180
6x=148
When I divide by 6 I get a decimal answer, I don't know what I'm doing wrong.
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!
32+x+5x=180
32+6x=180
6x=148

Instead of getting a decimal, get an improper fraction instead:

Divide both sides by 6, by putting 6 under each side:

 = �  

Reduce the fraction

x = �

Change the improper fraction to a mixed number:

x = �

There are 60 minutes in a degree.

Convert the  to minutes by multiplying  times 60',
getting 40', so the answer is

 x =  24�40' = third angle
5x = 120�200' = second angle, but we need to simplify that.

We convert 200 minutes to degrees by diving by 60

 =  = 

So we add 3 to the number of degrees getting 123�, 
and we convert the  to minutes by multiplying by 60,
getting 20'.  

Second angle = 123�20' 

Edwin

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