Find the measure of each interior angle of a regular polygon with 12 sides.
show your work
A. 1,800°
B. 150°
C. 180°
D. 145°
B. 150°
Explanation: The measure of each interior angle of a regular polygon with 12 sides is given by the formula:
Interior Angle = (n - 2) × 180°/n
where n is the number of sides.
Therefore, the measure of each interior angle of a regular polygon with 12 sides is:
Interior Angle = (12 - 2) × 180°/12 = 150°
To find the measure of each interior angle of a regular polygon, we can use the formula:
Interior angle = (n - 2) * 180 / n
where n is the number of sides of the polygon.
For a regular polygon with 12 sides, the formula becomes:
Interior angle = (12 - 2) * 180 / 12
= 10 * 180 / 12
= 1800 / 12
= 150°
Therefore, the measure of each interior angle of a regular polygon with 12 sides is 150°.
The answer is B. 150°.