Question

In figure if AD = 6cm, DB = 9cm, AE = 8cm and EC = 12 cm and ZADE = 48°. Find ZABC.
480​

Answer 1

Answer:

Step-by-step explanation:

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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