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Question 5

In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and โˆ  ADE = 48ยฐ . Find โˆ  ABC

In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and ADE=48

Question 5 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2

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Transcript

Question 5 In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and โˆ  ADE = 48ยฐ . Find โˆ  ABC Letโ€™s label the figure Here, ๐ด๐ท/๐ท๐ต = 6/9 = 2/3 ๐ด๐ธ/๐ธ๐ถ = 8/12 = 2/3 So, ๐ด๐ท/๐ท๐ต = ๐ด๐ธ/๐ธ๐ถ We know that If line divides two sides of a triangle in same ratio then line is parallel to third side โˆด DE โˆฅ BC Now, for parallel lines DE and BC, with transversal AB โˆ  ABC = โˆ  ADE โˆ  ABC = 48ยฐ

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.