Question

Find the measure of each interior angle of a regular dodecagon.

Answer 1

a 12 sides polygon.

Use the angle sum of a polygon is\[S= (n - 2)\times180\]

where n is the number of sides

(12 - 2) x 180 = 1800

the angles add to 1800 degrees

a regular polygon has all sides and angles equal

the the measure of 1 angle = 1800/12

then 1 angle in a regular dodecagon = 150 degrees

Answer 2

thanks

Answer 3

the alternate method is the exterior angles of a ploygon add to 360

then 1 exterior angle = 360/12 = 30 degrees

find the supplementary angle

180 - 30 = 150

an interior angle = 150 degrees

Answer 4

ooohhh thanks!