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Angle EAF= 1/2 of angle BAD, since angle BAD= 2(• + ×) and angle EAF= • + ×
==>∆ABD and ∆ AEF are isosceles triangles. (as it is also given that AB= AD)
==> AC bisects BD and EF.
==>AC is perpendicular to BD and EF.
==> As the same line segment is perpendicular to two other line segments, hence the two line segments i.e. BD and EF are parallel.
[ Hence Proved]
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