Question 5 - CBSE Class 10 Sample Paper for 2019 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 24, 2021 by Teachoo

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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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°

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