Question

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Answer 1

Answer:

Given : ABCD is a rectangle

∴ Opposite sides are equal and parallel. Each angle measures 90°

In ΔADP and ΔCBQ,

AD = BC................(opposite sides of rectangle ABCD)

∠DAP = ∠BCQ....... (Alternate interior angles as AD||BC)

∠DPA = ∠BQC = 90° ....... (Given)

∴ by AAS Congruence Condition,

ΔADP≅ΔCBQ

∴∠ADP = ∠CBQ (C.P.C.T)

and, DP = BQ (C.P.C.T)

Answer 2

hope this solution will help you