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Question

Ex:7.1 question number 7

Answer given: p is mid point

Angle BAD=angleABE

Angle EPA=Angle DPB

To prove triangle DAP in congruent to triangle EBP

Proof angle EPA+Angle EPD=angle DPB + angle EPD

Angle APD=angle BPE (1)

In triangle DAP and Triangle EBP

Angle BAD = angle ABE(given)

AP=PB (p is mid point of AB)

Angle APD=Angle BPE (frome 1)

So by asa criteria

Triangle DAP is congruent to triangle EBP

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