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  2. AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠ BAD = ∠ ABE and ∠ EPA = ∠ DPB (see Fig). Show that (ii) AD = BE
# NCERT

7. AB is a line segment and P is its mid-point. D and E are points on the same side of AB  such that \small \angle BAD=\angle ABE and \small \angle EPA=\angle DPA (see Fig). Show that

 (ii) \small AD=BE

                

Answers (1)
D Devendra Khairwa

In the previous part we have proved that \small \Delta DAP\cong \Delta EBP.

Thus by c.p.c.t., we can say that :

     \small AD=BE

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