SOLUTION: The consecutive sides of an equiangular hexagon have measures of 5, 4, 9, 3, 6 and n centimeters. What is the value of n?

Question 1105739: The consecutive sides of an equiangular hexagon have measures of 5, 4, 9, 3, 6 and n centimeters. What is the value of n?
Answer by ikleyn(52754) (Show Source): You can put this solution on YOUR website!
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Extend the sides of the hexagon until they meet. You should get big equilateral triangle and three small equilateral triangles.


          MAKE A SKETCH !

Write the equation for the large triangle side lengths:


5 + 4 + 9 = 5 + n + 6,


which implies  n = 4 + 9 - 6 = 7.

Answer. The value of "n" is equal to 7.

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