Question 5
In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and ∠ ADE = 48° . Find ∠ ABC

CBSE Class 10 Sample Paper for 2019 Boards
CBSE Class 10 Sample Paper for 2019 Boards
Last updated at Dec. 16, 2024 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 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°