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A pentagon has four degrees showing 7x+4, 5x+4, 4x+9, 9x-6, 4x+1.  Solve for x.

 Feb 4, 2021
 #1
avatar+159 
+2

So we know in a pentagon there are in total 540 degrees.
Then, 7x+4+5x+4+4x+9+9x-6+4x+1 = 540 = 29x + 12

540-12 =  528

 

528/29 = x


Let me know if you have any questions about the way I solved.

 

🐺🐺🐺

 Feb 4, 2021
edited by vockeyvockvock  Feb 4, 2021
 #3
avatar+128 
+1

very nice, vockey!

macar0ni  Feb 4, 2021
 #4
avatar+159 
0

Thanks!

vockeyvockvock  Feb 4, 2021
 #2
avatar+128 
0

the sum of the interior angles of a pentagon: (5-2)*180 = 540

 

adding up all the degrees to make an equation, you get:

7x+4+5x+4+4x+9+9x-6+4x+1 = 540

 

simplifying that (by combining the like terms and adding the constants), you get:

29x+12 = 540

 

29x = 528

x = 528/29 = 18 6/29

 

 

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

 Feb 4, 2021
 #5
avatar+267 
0

interior angles of a pentagon = 540deg

 

so we set up the equation (7x+4)+(5x+4)+(4x+9)+(9x-6)+(4x+1)=540

 

combine like terms and simplify and divide both sides by 29 to get 528/29

 Feb 4, 2021

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