Question

In triangle abc side ba is produced to d .AE bisects CAD and B=C.then prove that AE||BC(step by step)
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Answer 1

Answer:

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

Step-by-step explanation: