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