Question

AB is a line segment and Pis its mid-point. D and
E are points on the same side of AB such that
BAD = Z ABE and Z EPA = Z DPB
(see Fig. 7.22). Show that
(i) ADAP=A EBP
(ii) AD=BE​

Answer 1

Answer:

∠ EPA = ∠ DPB (Given)

⇒ ∠ EPA + ∠DPE = ∠ DPB + ∠DPE

∴ ∠APD = ∠BPE

Consider Δ’s DAP and EBP

AP = BP (Given P is midpoint of AB)

∠BAD = ∠ABE (Given)

∠APD = ∠BPE (Proved)

Hence ΔDAP ≅ ΔEBP (By ASA congruence rule) ⇒ AD = BE (CPCT)

Step-by-step explanation:

please mark it as brainliest and follow me

please subscribe my YOUTUBE CHANNEL Shivam TechTube