The sum of interior angles of a regular polygon is 1800

Find the measure of each interior angle of the polygon.

The measure of each interior angle of the dodecagon is 150 degrees.

Step-by-step explanation:

(n - 2) x 180 = 1800 Use the equation to find the number of sides

n - 2 = 10 Divide by 180 on both sides

+ 2 + 2 Add 2 to both sides

n = 12

Take the sum of the interior angles divided by the number of sides to find the measure of each angle

1800/12 = 150 degrees for each angles of the dodecagon.