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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


Transcript

Question 5 In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and ∠ ADE = 48° . Find ∠ ABC Let’s label the figure Here, 𝐴𝐷/𝐷𝐵 = 6/9 = 2/3 𝐴𝐸/𝐸𝐶 = 8/12 = 2/3 So, 𝐴𝐷/𝐷𝐵 = 𝐴𝐸/𝐸𝐶 We know that If line divides two sides of a triangle in same ratio then line is parallel to third side ∴ DE ∥ BC Now, for parallel lines DE and BC, with transversal AB ∠ ABC = ∠ ADE ∠ ABC = 48°

  1. Class 10
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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo