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Help with 19 and 20 please thank you!

Help with 19 and 20 please thank you!-example-1

1 Answer

4 votes

Answer:

19. The exterior angles add up to 360 degrees, (as do all polygons).

20. See below. (Answers in bold).

Explanation:

The exterior angles of all polygons add up to 360 degrees.

a. Pentagon : Exterior angle = 360 / 5 = 72 degrees.

So an interior angle measures 180 - 72 = 108 degrees.

b. 16-gon:- Exterior angle = 360 / 16 = 22.5 degrees.

Interior angle = 180 - 22.5 = 157.5 degrees.

c. Dodecagon has 12 sides so exterior angle = 360 / 12 = 30 degrees.

Interior angle = 150 degrees.