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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Polygons and Angles

Find the measure of one interior angle in each polygon. Round your answer to the nearest tenth if

necessary.

1) 2)

3) 4)

5) 6)

7) regular 24-gon 8) regular quadrilateral

9) regular 23-gon 10) regular 16-gon

Find the measure of one exterior angle in each polygon. Round your answer to the nearest tenth if

necessary.

11) 12)

13) 14)

-1-

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15) 16)

17) regular 13-gon 18) regular 16-gon

19) regular 20-gon 20) regular 23-gon

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

21) 22)

23) 24)

25) 26)

27) regular quadrilateral 28) regular 18-gon

29) regular dodecagon 30) regular 15-gon

Critical thinking questions:

31) What is the exterior angle sum of a

500-gon?

32) Is there a regular polygon with an interior

angle sum of 9000°? If so, what is it?

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Polygons and Angles

Find the measure of one interior angle in each polygon. Round your answer to the nearest tenth if

necessary.

1) 108° 2) 135°

3) 147.3° 4) 120°

5) 140° 6) 150°

7) regular 24-gon 165° 8) regular quadrilateral90°

9) regular 23-gon 164.3° 10) regular 16-gon 157.5°

Find the measure of one exterior angle in each polygon. Round your answer to the nearest tenth if

necessary.

11) 36° 12) 51.4°

13) 45° 14) 72°

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15)

32.7°

16) 40°

17) regular 13-gon

27.7°

18) regular 16-gon 22.5°

19) regular 20-gon

18°

20) regular 23-gon 15.7°

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary.

21) 900° 22) 1440°

23) 540° 24) 1080°

25) 1620° 26) 1260°

27) regular quadrilateral

360°

28) regular 18-gon 2880°

29) regular dodecagon

1800°

30) regular 15-gon 2340°

Critical thinking questions:

31) What is the exterior angle sum of a

500-gon?

360°

32) Is there a regular polygon with an interior

angle sum of 9000°? If so, what is it?

Yes, regular 52-gon.

-2-

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