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Step-by-step explanation:
We know that in a cyclic quadrilateral
exterior angle is equal to the interior opposite angle
. It can be written as
Exterior ∠EDC = ∠A
Exterior ∠DCE = ∠B
We know that AB || CD
So we get ∠EDC = ∠B and ∠DCE = ∠A
We get ∠A = ∠B Therefore,
it is proved that △ AEB is isosceles.
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