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Question 5 - CBSE Class 10 Sample Paper for 2019 Boards

Last updated at Oct. 1, 2019 by

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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  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

    3. CBSE Class 10 Sample Paper for 2019 Boards

    CBSE Class 10 Sample Paper for 2018 Boards →

Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.