Question 541014
32+x+5x=180
32+6x=180
6x=148
<pre>
Instead of getting a decimal, get an improper fraction instead:

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

{{{6x/6}}} = {{{(148/6)}}}°  

Reduce the fraction

x = {{{(74/3)}}}°

Change the improper fraction to a mixed number:

x = {{{(24&2/3)}}}°

There are 60 minutes in a degree.

Convert the {{{2/3}}} to minutes by multiplying {{{2/3}}} 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

{{{200/60}}} = {{{3&20/60}}} = {{{3&1/3}}}

So we add 3 to the number of degrees getting 123°, 
and we convert the {{{1/3}}} to minutes by multiplying by 60,
getting 20'.  

Second angle = 123°20' 

Edwin</pre>