Determine the value of x, the exterior angle of the regular polygon.

51.4°

Explanation:

 The number of sides of the given polygon = 7

 To find the sum of angles in this polygon, we use the expression below;

         (N - 2) x 180;

       N is the number of sides

So,

 Sum of angles here = (7-2) x 180

                                   = 5 x 180

                                    = 900°

Each angle will be   = 128.6°

Since angle x is on a straight line with one of the interior angles;

      Angle on a straight line = 180°

            128.6 + x  = 180

                          x  = 180 - 128.6 = 51.4°

windward

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