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

Last updated at Nov. 22, 2018 by Teachoo

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Question
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5
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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 β ADE = 48Β° . Find β ABC Letβs label the figure Here, π΄π·/π·π΅ = 6/9 = 2/3 π΄πΈ/πΈπΆ = 8/12 = 2/3 So, π΄π·/π·π΅ = π΄πΈ/πΈπΆ We know that If line divides two sides of a triangle in same ratio then line is parallel to third side β΄ DE β₯ BC Now, for parallel lines DE and BC, with transversal AB β ABC = β ADE β ABC = 48Β°

CBSE Class 10 Sample Paper for 2019 Boards

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Class 10

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Davneet Singh

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.