Math, asked by Mrunali2004, 1 year ago

Sides of angle PQR and angle XYZ are parallel to each other. Prove that, angle PQR is congruent to angle XYZ.

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Answered by residentking2400
47
hope this will help you out....
don't worry its correct...
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residentking2400: there is no answer we only have to prove that angle xyz is equal to angle pqr
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Answered by Shaizakincsem
63

Thank you for asking this question. Here is your answer:


PQ || XY and PQ = XY


PR || XZ and PR = XZ


Taking Δ PQR and ΔXYZ


PQ =  XY


PR = XZ


∠ QPX = ∠YXM = a


∠ RPX = ∠ZXM


∠XYZ = ∠YXM + ∠ZXM = a + b


∠XYZ = ∠QPR = a + b


ΔPQR ≅ ΔXYZ (SAS)


ar (ΔPQR)  = ar. (Δ XYZ)


If there is any confusion please leave a comment below.

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