What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.

Step-by-step explanation:

Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.

Sum of all interior angles of

N

-sided regular polygon equals to

(

N

−

2

)

⋅

180

o

.

Therefore, sum of interior angles of

12

-sided polygon is

(

12

−

2

)

⋅

180

o

=

1800

o

All 12 interior angles of dodecagon are equal, so each is

180-30

150

A supplementary exterior angle, therefore, equals to

180-150

=30

hopeit helps..

Answer

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right