What is the value of X in this polygon?

The answer to your question is x = 10

Step-by-step explanation:

To find the sum of the external angles in a polygon use the formula

                    180(n - 2)/n

n = number of sides

In this polygon n = 6 so,

                    180(6 - 2)/6 = 180(4)/6 = 720/6 = 120

Then

        2x + (x + 10) + (2x) + (x + 10) + (x + 16) + (x + 4) = 120

Simplification

         2x + x + 2x + x + x + x = 120 - 10 - 10 - 16 - 4

                                          8x = 80

                                            x = 80/8

Result

                                            x = 10

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral