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Question 5

In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and ∠ ADE = 48° . Find ∠ 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 ∠ ADE = 48Β° . Find ∠ ABC Let’s label the figure Here, 𝐴𝐷/𝐷𝐡 = 6/9 = 2/3 𝐴𝐸/𝐸𝐢 = 8/12 = 2/3 So, 𝐴𝐷/𝐷𝐡 = 𝐴𝐸/𝐸𝐢 We know that If line divides two sides of a triangle in same ratio then line is parallel to third side ∴ DE βˆ₯ BC Now, for parallel lines DE and BC, with transversal AB ∠ ABC = ∠ ADE ∠ ABC = 48Β°

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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.