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In △ADE and △ABC
∠ADE=∠ABC (As DE∥BC) Corresponding angles
∠AED=∠ACB (As DE∥BC) Corresponding angles
∠DAE=∠BAC (common angle)
by AAA criteria
△ADE∼△ABC
⇒
AB
AD
=
AC
AE
4.5
1.5
=
1+x
1
1+x=3
x=2.
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