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6-Polygons and Angles - Kuta Software

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-1-<br />

©j Z2x0i1D1V BKxugtNav uStosfktOwnaTrDeY hLULsCz.q e UA6lil4 jrmiFguh2tNso 1r7eesAeDrxvZeIdP.t s lMUa2dmeA UwCiBt3hZ 7IOnEfUiCnOiUtye7 1GZeFo6mYe5tGrayV.Q Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />

<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />

<strong>Polygons</strong> <strong>and</strong> <strong>Angles</strong><br />

Name___________________________________<br />

Date________________<br />

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

necessary.<br />

1) 2)<br />

Period____<br />

3) 4)<br />

5) 6)<br />

7) regular 24-gon 8) regular quadrilateral<br />

9) regular 23-gon 10) regular 16-gon<br />

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

necessary.<br />

11) 12)<br />

13) 14)


-2-<br />

©G H2c0z1U1B QKkuHtla4 ASko1fdtSwoanrLex PLALjCX.t T UAAl8lU vrei3gzhltjsR BrGepsle7rBvPe6dq.d q IM6aMdYe4 dwOivtqhH 9IOnSfLiLnsijtBeI HGQeWopmmeNtMrjyW.b Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />

15) 16)<br />

17) regular 13-gon 18) regular 16-gon<br />

19) regular 20-gon 20) regular 23-gon<br />

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

21) 22)<br />

23) 24)<br />

25) 26)<br />

27) regular quadrilateral 28) regular 18-gon<br />

29) regular dodecagon 30) regular 15-gon<br />

Critical thinking questions:<br />

31) What is the exterior angle sum of a<br />

500-gon?<br />

32) Is there a regular polygon with an interior<br />

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


-1-<br />

©C V2Y0X1F1U cKaurtVa1 nSZoRfZtrwQavr Neg tLCLTCz.w j XAjltln Fr Hi0gLhVt7sf MrueHsJelravCe5d9.M q nMJaIdzeQ WwYiTtohV bIEnefUiEnOi4tqeQ 5GPesoImkeFtYreyO.7 Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />

<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />

<strong>Polygons</strong> <strong>and</strong> <strong>Angles</strong><br />

Name___________________________________<br />

Date________________<br />

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

necessary.<br />

1) 108° 2) 135°<br />

Period____<br />

3) 147.3° 4) 120°<br />

5) 140° 6) 150°<br />

7) regular 24-gon 165° 8) regular quadrilateral90°<br />

9) regular 23-gon 164.3° 10) regular 16-gon 157.5°<br />

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

necessary.<br />

11) 36° 12) 51.4°<br />

13) 45° 14) 72°


-2-<br />

©d M2C061N1p kKzuZtvam ESAodfVtNw9aprUeR SL1LzCg.5 7 TATlvlM Zr7ifgzhXtmsK MrseYsGerrBvuemdT.4 n KM4aud3eM XwNietihq mI7nrfZi5nliqtaew AGseUolm5eoterUyD.A Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />

15)<br />

16) 40°<br />

32.7°<br />

17) regular 13-gon<br />

18) regular 16-gon 22.5°<br />

27.7°<br />

19) regular 20-gon<br />

20) regular 23-gon 15.7°<br />

18°<br />

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

21) 900° 22) 1440°<br />

23) 540° 24) 1080°<br />

25) 1620° 26) 1260°<br />

27) regular quadrilateral<br />

360°<br />

29) regular dodecagon<br />

1800°<br />

Critical thinking questions:<br />

31) What is the exterior angle sum of a<br />

500-gon?<br />

360°<br />

28) regular 18-gon 2880°<br />

30) regular 15-gon 2340°<br />

32) Is there a regular polygon with an interior<br />

angle sum of 9000°? If so, what is it?<br />

Yes, regular 52-gon.<br />

Create your own worksheets like this one with Infinite Geometry. Free trial available at <strong>Kuta</strong><strong>Software</strong>.com

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