Question 5

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

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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 = 45Β°

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.