Question

in figure if AD=6cm,DB=9cm,AE=8cm and EC=12cm and angle ADE=48° . find angle ABC


give me the figure for this

Answer 1

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Answer 2

Thank you for asking this question. Here is your answer:

AD/DB = 6/9 = 2/3

AE/EC = 8/12 = 2/3

AD/DB = AE/EC

Now we will use the Proportionality Theorem

AD/DB = AE/EC

=> DE // BC

∠ADE = ∠ABC = 48° [ as DE//BC and DB is the traversal, so the angles will be equal as they are corresponding angles.

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