he ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find each exterior angle of the polygon

The ratio between the interior angle and the exterior angle of a regular polygon is 2:1. This means that the interior angle is twice the exterior angle.

Step 1: Let's denote the exterior angle as x. Then, the interior angle will be 2x.

Step 2: We know that the sum of the interior angle and the exterior angle of a polygon is 180 degrees (since they are supplementary). So, we can set up the equation: x + 2x = 180.

Step 3: Simplify the equation to get 3x = 180.

Step 4: Solve for x by dividing both sides of the equation by 3. x = 180 / 3 = 60 degrees.

So, each exterior angle of the polygon is 60 degrees.