Question

Find the measure of each interior angle of the regular polygon (The polygon has 12 sides)​

Answer 1

Answer:

150°

Step-by-step explanation:

To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180

(12-2)=10

10*180=1800

Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.

So,

1800/12=

150

Hope this helps!

Answer 2

Answer:

150 degrees.

Step-by-step explanation:

So every polygon's interior angles will always add up to a multiple of 180 degrees depending on the amount of sides, if it's a regular polygon all interior angles will be the same.

(3 sides = 180 degrees, 4 sides = 360 degrees, 5 sides = 540 degrees etc.)

12 sides will always add up to 1800 degrees.

1800 / 12 = 150

Therefore, each interior angle is 150 degrees.