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Question1: Findthemissingangleineachirregularpolygon

(a) (b) (c)

(d) (e) (f)

(g) (h) (i)

(j) (k) (l)

Examples

Workout

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https://corbettmaths.com/2012/08/10/angles-in-polygons/https://corbettmaths.com/2012/08/10/angles-in-polygons/

!AnglesinPolygonsVideos32onCorbettmaths

(m) (n)

Question2: Workoutthesumoftheinterioranglesforpolygonswith

(a) 10sides (b)14sides (c)20sides (d)45sides

(e) 50sides (f)80sides (g)100sides (h)200sides

Question3: Workoutthenumberofsidesofpolygonswiththesesumofinteriorangles

(a) 1260 (b)2880 (c)3960 (d)5040

(e) 12240 (f)15840 (g)2340 (h)89640

Question4: Eachofthepolygonsbelowareregular. Calculatethesizeofeachinteriorangle,x.(a) (b) (c)

(d) (e) (f)

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Question5: Calculatethesizeofeachinteriorangleinregularpolygonswith

(a) 15sides (b)20sides (c)24sides (d)30sides

(e) 36sides (f)40sides (g)50sides (h)60sides

(i)72sides (j)80sides (k)90sides (l)100sides

Question6: Eachofthepolygonsbelowareregular. Calculatethesizeofeachexteriorangle,y.

(a) (b) (c)

(d) (e) (f)

Question7: Calculatethesizeofeachexteriorangleinregularpolygonswith

(a) 15sides (b)18sides (c)20sides (d)24sides

(e) 30sides (f)36sides (g)40sides (h)45sides

(i)60sides (j)72sides (k)90sides (l)200sides

Question8: Shownbelowisoneinterioranglefromregularpolygons. Calculatehowmanysidesthepolygonshave.

(a) (b) (c)

(d) (e) (f)

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Question1: Ineachdiagrambelow,tworegularpolygonsareshown. Calculatex.(a) (b) (c) (d)

Question2: Shownisaregularpentagon. Findy.

Question3: Aregularpolygonhas18sides. Calculatethesizeofeachinteriorangle.

Question4: Aregularpolygonhas30sides. Calculatethesizeofeachinteriorangle.

Question5: Explainwhythiscannotbeaninterioranglefromregularpolygons.

Question6:ApolygonhasaninterioranglethatisVivetimeslargerthantheexteriorangle. Howmanysidesdoesithave?

Question7: Explainwhyregularhexagonstessellate.

Question8: Explainwhyregularpentagonsdonottessellate.

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Answers

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https://corbettmaths.com/2016/08/01/textbook-answers-angles-in-polygons/https://corbettmaths.com/2016/08/01/textbook-answers-angles-in-polygons/