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

Remove Ads

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°

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.