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köşegen sayısı 2 ve oluşan üçgen sayısı 3'tür.","Beşgenin iç açılarının ölçüleri toplamı 540 derecedir.","Altıgenin kenar sayısı 6, köşe sayısı 6, bir köşesinden çizilen köşegen sayısı 3 ve oluşan üçgen sayısı 4'tür.","Altıgenin iç açılarının ölçüleri toplamı 720 derecedir."]},"beginTime":247,"endTime":409,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=247&ask_summarization=1"},{"index":4,"title":"Çokgenlerin Genel Özellikleri","list":{"type":"unordered","items":["n kenarlı çokgende bir köşesinden çizilen köşegen sayısı n-3'tür.","n kenarlı çokgende oluşan üçgen sayısı n-2'dir.","n kenarlı çokgenin iç açılarının ölçüleri toplamı (n-2)×180 derecedir."]},"beginTime":409,"endTime":496,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=409&ask_summarization=1"},{"index":5,"title":"Çokgenlerde Köşegen ve İç Açılar","list":{"type":"unordered","items":["Bir çokgenin bir köşesinden n-3 tane köşegen çizilebilir.","Bir çokgenin bir köşesinden çizilen köşegenler, çokgeni n-2 tane üçgen ayırır.","Çokgenin iç açılar toplamı, oluşan üçgen sayısı ile 180 derecenin çarpımıdır."]},"beginTime":498,"endTime":535,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=498&ask_summarization=1"},{"index":6,"title":"Altıgenin Özellikleri","list":{"type":"unordered","items":["Bir altıgen (n=6) bir köşesinden 3 tane köşegen çizilebilir.","Altıgenin bir köşesinden çizilen köşegenler, çokgeni 4 tane üçgen ayırır.","Altıgenin iç açılar toplamı 720 derecedir."]},"beginTime":535,"endTime":603,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=535&ask_summarization=1"},{"index":7,"title":"Beşgen Problemi","list":{"type":"unordered","items":["Normal beşgenin iç açılar toplamı (n-2)×180 formülüyle 540 derecedir.","Beşgende x+5+135+125+115+2x-20 açılarının toplamı 540 dereceye eşittir.","x=60 derece bulunur ve istenen açı 65 derecedir."]},"beginTime":603,"endTime":747,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=603&ask_summarization=1"},{"index":8,"title":"İç Açıları Toplamı","list":{"type":"unordered","items":["İç açıları toplamı 900 derece olan çokgen 7 kenarlıdır.","Herhangi bir çokgenin dış açılarının toplamı 360 derecedir ve değişmez.","Üçgen, dörtgen, beşgen, yüzgen gibi tüm çokgenlerin dış açılarının toplamı sabittir."]},"beginTime":747,"endTime":913,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=747&ask_summarization=1"},{"index":9,"title":"Düzgün Çokgenler","list":{"type":"unordered","items":["Düzgün çokgenlerde bütün kenar uzunlukları ve iç açıları birbirine eşittir.","Düzgün altıgenin bir iç açısının ölçüsü 120 derece, bir dış açısının ölçüsü 60 derecedir.","Eşkenar üçgenin her bir iç açısının ölçüsü 60 derece, karenin her bir iç açısının ölçüsü 90 derecedir.","Düzgün beşgenin bir iç açısının ölçüsü 108 derece, düzgün altıgenin bir iç açısının ölçüsü 120 derecedir."]},"beginTime":913,"endTime":1098,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=913&ask_summarization=1"},{"index":10,"title":"Düzgün Çokgenlerde Açı Hesaplama","list":{"type":"unordered","items":["Düzgün çokgenlerde bütün kenar uzunlukları birbirine eşittir.","İkizkenar üçgende taban açıları birbirine eşittir.","Düzgün çokgenlerde iç açılar toplamı 360 derecedir."]},"beginTime":1103,"endTime":1162,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=1103&ask_summarization=1"},{"index":11,"title":"İlk Sorunun Çözümü","list":{"type":"unordered","items":["Verilen açılar 120 derece ve 108 derece olduğunda, toplam 228 derece bulunur.","360 dereceden 228 derece çıkarıldığında 132 derece elde edilir.","180 dereceden 132 derece çıkarıldığında 48 derece kalır ve bu değer ikiye bölündüğünde 24 derece bulunur."]},"beginTime":1162,"endTime":1293,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=1162&ask_summarization=1"},{"index":12,"title":"İkinci Sorunun Çözümü","list":{"type":"unordered","items":["Düzgün altıgende bütün kenarları birbirine eşittir.","Karede bütün kenarları birbirine eşittir.","Ters dönmüş ikizkenar üçgende taban açıları 30 derece, tepe açısı ise 75 derecedir."]},"beginTime":1293,"endTime":1446,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=1293&ask_summarization=1"},{"index":13,"title":"Dersin Özeti ve Ödev","list":{"type":"unordered","items":["Bugün çokgenler, iç dış açılar ve düzgün çokgenler öğrenildi.","Öğrencilere soru bankalarından belirli aralıklardaki soruları çözmeleri tavsiye edildi.","Matematik ödev yapmadan, soru çözmeden ve kendin bir şeyler üretmeden geçmez."]},"beginTime":1446,"endTime":1508,"href":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=1446&ask_summarization=1"}],"linkTemplate":"/video/preview/2074242416999229460?parent-reqid=1769434345373846-13397717400424967389-balancer-l7leveler-kubr-yp-sas-106-BAL&text=S7K&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Çokgenler | 7. 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