Find the measure of interior angle C of hexagon OCEANS in which the measure of the interior angles are:
O: 3x + 15, C: 2x + 30, E: 5x + 10, A: 2x + 55, N: 2x + 60, and S: x - 35.

The measure of the interior angle C is .

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     =

Sum of angles in a hexagon =

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 =

15x + 135 =

15x = - 135

15x = 585

x =

  =

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   =

The measure of the interior angle C is .

step-by-step explanation: