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The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140°.   What are the two angles?

 Feb 4, 2021
 #1
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we can set up two equations here:

x = 5y - 13

x + y = 140

 

now, we can use substitution:

 

5y - 13 + y = 140

6y - 13 = 140

6y = 173

y = 173/6

 

x = 667/6

 

hope this helped! please correct me if i am wrong:)

 Feb 5, 2021
 #2
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13 + 140 = 153     NOT  163  or  173 smiley

Guest Feb 5, 2021
 #3
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whoops, thank you for catching that :O

 

my bad, y should be 153/6, sorry about that !!

 

(...and i hope you can solve for x on your own:))

macar0ni  Feb 5, 2021
edited by macar0ni  Feb 5, 2021

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