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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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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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