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Öğretmen, öğrencilere hitap ederek konuyu adım adım açıklamaktadır.","Video, doğruda açılar konusunu detaylı şekilde ele almaktadır. Paralel doğrular arasındaki açı ilişkileri (U kuralı, M kuralı, ters açılar), açıortay, yöndeş açılar ve üçgenlerin iç açı toplamı gibi temel geometri kavramları açıklanmaktadır. Ayrıca \"bumerang kuralı\" olarak adlandırılan özel bir geometri özelliği ve saat problemleri üzerinden açı hesaplamaları da gösterilmektedir.","Videoda çeşitli problem tipleri çözülmekte, ÖSYM sınavlarında çıkmış benzer sorular ele alınmakta ve öğrencilerin sık yaptığı hatalar vurgulanmaktadır. Öğretmen, her problem için adım adım çözüm yöntemlerini göstermekte, formülleri açıklamakta ve farklı çözüm tekniklerini sunmaktadır. Video, doğruda açılar konusunun tamamlanmasıyla sona erer ve bir sonraki konu olan üçgen açılar hakkında bilgi verilir."]},"endTime":3775,"title":"Doğruda Açılar Konusu Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Doğrultusu Bozulmadan Ötelenen Açı Problemi","list":{"type":"unordered","items":["FK açısı doğrultusu bozulmadan sola doğru öteleniyor ve KF ile Açı kesiştiğinde KAF ile arasında oluşan dar açı soruluyor.","Öteleme sonrası oluşan açılar incelenerek KAF ile arasında oluşan dar açının 60 derece olduğu bulunuyor.","Cevap A seçeneği olarak belirleniyor."]},"beginTime":7,"endTime":101,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=7&ask_summarization=1"},{"index":1,"title":"Dikdörtgen Şekilli Mantar Tablo Problemi","list":{"type":"unordered","items":["Dikdörtgen şekilli bir mantar tablonun A ve B noktalarından lastik tutturulmuş, daha sonra E, C, D noktalarından rapti ile gerdirilmiştir.","Paralel çizgiler çekerek M kuralı uygulanarak açılar hesaplanıyor.","Üçgenin iç açıları toplamı kullanılarak x açısının 80 derece olduğu bulunuyor ve cevap D seçeneği olarak belirleniyor."]},"beginTime":101,"endTime":228,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=101&ask_summarization=1"},{"index":2,"title":"Aynalar Problemi","list":{"type":"unordered","items":["A, B ve C aynaları verilmiş, A ve C aynaları birbirine paralel olup K noktasından gelen ışının aynalardan yansıdığına göre x açısı soruluyor.","Aynaya gelen ışın ile yansıyan ışının ayna ile yaptığı açıların eşit olduğu kuralı kullanılıyor.","M kuralı uygulanarak x açısının 100 derece olduğu bulunuyor ve cevap D seçeneği olarak belirleniyor."]},"beginTime":228,"endTime":335,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=228&ask_summarization=1"},{"index":3,"title":"Bilardo Masası Problemi","list":{"type":"unordered","items":["Dikdörtgen şekli bilardo masasında A noktasından topa vuruluyor ve top kenarlardan sekerken geldiği açıyı koruyarak sekmektedir.","Dikdörtgenin iç açıları ve paralel çizgiler kullanılarak açılar hesaplanıyor.","X açısının 50 derece olduğu bulunuyor ve cevap D seçeneği olarak belirleniyor."]},"beginTime":335,"endTime":426,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=335&ask_summarization=1"},{"index":4,"title":"Paralel Doğrular ve Açılar","list":{"type":"unordered","items":["Paralel doğrular arasındaki \"U\" kuralı, iki açının toplamının 180 derece olduğunu gösterir.","Paralel doğrular arasındaki açıların toplamı formülü: n açı varsa (n-1)×180 derecedir.","Paralel doğrular arasındaki açılar, her açı arttığında 180 derece artar: 2 açı 360 derece, 3 açı 540 derece, 4 açı 720 derece."]},"beginTime":431,"endTime":593,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=431&ask_summarization=1"},{"index":5,"title":"Paralelkenar Problemleri","list":{"type":"unordered","items":["Paralelkenarda karşı kenarlar birbirine paraleldir ve M kuralı uygulanabilir.","Paralelkenarda U kuralı, paralel doğrular arasındaki açıların toplamının 180 derece olduğunu gösterir.","Paralelkenarda açılar toplamı 360 derecedir."]},"beginTime":593,"endTime":658,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=593&ask_summarization=1"},{"index":6,"title":"Dik Açılar ve Paralel Doğrular","list":{"type":"unordered","items":["Yere dik olan iki doğru birbirine paraleldir ve U kuralı sağlar.","Paralel doğrular arasındaki açılar, her açı arttığında 180 derece artar.","Paralel doğrular arasındaki açılar toplamı formülü: n açı varsa (n-1)×180 derecedir."]},"beginTime":658,"endTime":972,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=658&ask_summarization=1"},{"index":7,"title":"Açı Ölçer Problemleri","list":{"type":"unordered","items":["Açı ölçerinde açılar 0'dan başlayarak ölçülür ve açı ölçerindeki değerler açıları gösterir.","M kuralı, paralel doğrular arasındaki açıların toplamının 180 derece olduğunu gösterir.","Açı ölçerinde açılar arasındaki fark, aradaki açıyı verir."]},"beginTime":972,"endTime":1102,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=972&ask_summarization=1"},{"index":8,"title":"Paralel Doğrular ve Açılar","list":{"type":"unordered","items":["Paralel doğrular arasındaki açılar toplamı 360 derecedir.","Ters açılar toplamı 180 derecedir.","Paralel doğrular arasındaki açılar için M kuralı kullanılır."]},"beginTime":1104,"endTime":1158,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1104&ask_summarization=1"},{"index":9,"title":"ÖSYM Sorusu Çözümü","list":{"type":"unordered","items":["Aynı renkteki kenarları birbirine paralel olan şekillerde açılar incelenir.","Değer vererek çözüm yapmak yerine genel bir çözüm yöntemi kullanılmalıdır.","Açıların küçükten büyüğe sıralaması için matematiksel işlemler yapılır."]},"beginTime":1158,"endTime":1367,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1158&ask_summarization=1"},{"index":10,"title":"Üçgen ve Dörtgen Açıları","list":{"type":"unordered","items":["Paralel doğrular ve açıortaylar kullanılarak üçgen açıları hesaplanır.","Üçgenin iç açıları toplamı 180 derecedir.","Dörtgenin iç açıları toplamı 360 derecedir."]},"beginTime":1367,"endTime":1615,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1367&ask_summarization=1"},{"index":11,"title":"Masa Lambası Problemi","list":{"type":"unordered","items":["Dönebilen bir masa lambasının KT parçasının zemine paralel olması için gerekli açı hesaplanır.","Paralel doğrular arasındaki açılar toplamı 360 derecedir.","Masa lambasının en az 45 derece dönmesi gerekir."]},"beginTime":1615,"endTime":1727,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1615&ask_summarization=1"},{"index":12,"title":"Geometri Problemleri Çözümü","list":{"type":"unordered","items":["Paralel doğrular ve açılar konusunda farklı çözümler gösteriliyor.","U kuralı kullanılarak açılar hesaplanıyor ve açıortay kavramı açıklanıyor.","Üçgenlerde açı toplamı 180 derece kuralı kullanılarak problemler çözülüyor."]},"beginTime":1729,"endTime":1883,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1729&ask_summarization=1"},{"index":13,"title":"Geometri Öğrenme Yaklaşımı","list":{"type":"unordered","items":["Farklı tarz sorular çözülerek geometri konusunun iyi kavranması sağlanıyor.","Geometri konusunda keyif alınması ve iyi yapılması için çok soru çözülmesi gerektiği vurgulanıyor.","M kuralı (zikzak kuralı) kullanılarak açılar hesaplanıyor."]},"beginTime":1883,"endTime":1986,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1883&ask_summarization=1"},{"index":14,"title":"Sokak Problemi","list":{"type":"unordered","items":["Dört sokaktan oluşan bir problemde, sokakların kenarları paralel ve dik olduğu belirtiliyor.","Derin'in yürüyüş yolu ve dönüş açıları (30° ve 100°) kullanılarak problem çözülüyor.","Paralel doğrular ve dik doğrular arasındaki ilişki kullanılarak üçüncü sokaktan dördüncü sokağa geçmek için 40° sola dönülmesi gerektiği bulunuyor."]},"beginTime":1986,"endTime":2266,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=1986&ask_summarization=1"},{"index":15,"title":"Açı Döndürme Problemi","list":{"type":"unordered","items":["KCD açısı K noktası etrafında en az kaç derece dönerse ABL C'de paralel olur sorusu çözülüyor.","U kuralı kullanılarak açılar hesaplanıyor ve paralel olması için açının 40° olması gerektiği bulunuyor.","60° olan açının 20° döndürülmesiyle 40° olması gerektiği ve bu durumun cevabı olduğu belirtiliyor."]},"beginTime":2266,"endTime":2369,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=2266&ask_summarization=1"},{"index":16,"title":"Doğrusal Teller ve Açılar Problemi","list":{"type":"unordered","items":["Özüm, özdeş doğrusal tellerin ucuna renkli boncuklar takarak teller arasındaki açıları 15 derece olacak şekilde birbirine yapıştırıyor.","Tellerin hepsini yapıştırdığında son tel ilk tele paralel olduğuna göre, tellerin iç bölgesindeki açıların toplamı 22 dik açıya eşit olur.","Açıların toplamı formülü (n-1)×180° kullanılarak, 12 tane açı olduğu ve toplamının 22 dik açıya eşit olduğu hesaplanmıştır."]},"beginTime":2370,"endTime":2538,"href":"/video/preview/13544097924318514452?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=2370&ask_summarization=1"},{"index":17,"title":"Paralel Doğrular ve Açılar Problemi","list":{"type":"unordered","items":["Paralel doğrular ve yöndeş açılar kullanılarak, a+b+50°=180° denkleminden a+b=130° bulunmuştur.","Paralel doğrular ve U kuralı kullanılarak, 180°-2a ve 180°-2b açıları hesaplanmıştır.","Tüm açılar toplanarak x=80° olarak 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olduğunda, x değeri 40 olarak bulunmuştur.","ACB açısı 50 derece olarak hesaplanmıştır."]},"beginTime":601,"endTime":694,"href":"/video/preview/2208819307810815728?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=601&ask_summarization=1"},{"index":7,"title":"Üçgende Açı Problemleri","list":{"type":"unordered","items":["İki iç açının toplamı kendilerine komşu olmayan bir dış açıya eşit olduğundan, A açısı 40 derece olarak bulunmuştur.","Üçgenin iç açıları 2, 3, 8 ile orantılı olduğunda, dış açıları 5k, 10k, 11k ile orantılıdır.","A ile D arasındaki dar açı 84 derece olduğunda, A ile C doğruları arasındaki dar açı 56 derece olarak hesaplanmıştır."]},"beginTime":694,"endTime":949,"href":"/video/preview/2208819307810815728?parent-reqid=1765226438410213-15389165756837903126-balancer-l7leveler-kubr-yp-sas-90-BAL&text=%E2%80%A2Krype%E2%80%A0Tyl%E2%80%A2&t=694&ask_summarization=1"},{"index":8,"title":"Üçgende 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