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AB is a line segment and P is its midpoi...

AB is a line segment and P is its midpoint. D and E are points on the same side of AP such that `angleBAD=angleABE and angleEPA=angleDPB`.
Show that (i) `DeltaDAP~=DeltaEBP,`
`(ii) AD=BE.`

Text Solution

Verified by Experts


i) It is given that `∠EPA = ∠DPB`
`∠EPA + ∠DPE = ∠DPB + ∠DPE` (`∠DPE` is common)
`∴ ∠DPA = ∠EPB` ...
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