Question 5 - CBSE Class 10 Sample Paper for 2019 Boards

Last updated at Nov. 22, 2018 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

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°

CBSE Class 10 Sample Paper for 2019 Boards

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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.