Solving for X in a hexagon

Question

I have a hexagon so 6 sides, and I need to solve for X. The numbers I have are: 5x-6, 4x+14, 7x, 8x-8, 6x, and 120.

How do I solve for X?

Answer 1

The question is a little ambiguous, but I'm going to assume that those expressions are the measures of the interior angles of your hexagon. Since the sum of the measures of the interiors angles of a hexagon always add up to 720, we can set up an equation as follows:

5x - 6 + 4x + 14 + 7x + 8x - 8 + 6x + 120 = 720

Can you finish this problem yourself given the equation above?

Answer 2

Since one of numbers is 120, I am going to assume that they represent the internal angles of the hexagon.

Do you know how to calculate the sum of the internal angles of a polygon?

Sum = 180°(n - 2) where n is the number of sides of the polygon

Sum = 180° (4) = 720° for a hexagon.

Therefore, (5x - 6) + (4x + 14) + 7x + (8x - 8) + 6x + 120 = 720

Now you can solve for x