Question

Find the measure of each interior angle of a regular dodecagon.
A. 30°
B. 180°
C. 150°
D. 360°

Answer 1

For any polygon, Interior angle=180 degrees-exterior angle.
What is the exterior angle?

Answer 2

ohh 360

Answer 3

no
exterior angle = 360/#of sides

Answer 4

30 degrees

Answer 5

Good, you found the exterior angle.

360/12=30-----------360/(# of sides)=(exterior angle)
and
180-30=150----------180-(exterior angle)=(interior angle)
answer is 150

Answer 6

now using exterior angle you can find interior angle.

Answer 7

Interior Angle in a Polygon of side n = (n-2) × 180° / n
A dodecagon has 12 sides, so n= 12.
Interior Angle = (12-2) x 180 / 10 = 10x180 / 10 = ?

Answer 8

thanks i think i got it now @rrrrr