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?

Algebra ->  Polygons -> 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?      Log On


   

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) About Me  (Show Source):
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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.