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angle B+angle C=angleCAD. (sum of opposite angles are equal to exterior angle)
angle DAE=angle CAE. (AE bisect the angle CAD)
angle B +angle C=2 DAE. (DAE=CAE)
angle B+B=2 DAE. (angle B=angle c,given)
2B=2DAE
angle B=angle DAE
corresponding angles are equal so AE||BC
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