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

Question

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

anonymous · Answer

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

anonymous · Answer

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anonymous · Answer

ohh 360

anonymous · Answer

no
exterior angle = 360/#of sides

anonymous · Answer

30 degrees

anonymous · Answer

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

anonymous · Answer

now using exterior angle you can find interior angle.

anonymous · Answer

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 = ?

anonymous · Answer

thanks i think i got it now @rrrrr