Question

In figure 2.8, sides of ∠PQR and ∠XYZ are parallel to each other. Prove that, ∠PQR≅∠XYZ

Answer 1

HEAR IS YOUR ANSWER

PQ∥XY and PQ=XY

PR∥XZ and PR=XZ

Taking ΔPQR and ΔXYZ,

PQ=XY

PR=XZ

∠QPX=∠YXM=a

∠RPX=∠ZXM=b

∠XYZ=∠YXM+∠ZXM=a+b

∠XYZ=∠QPR=a+b

⇒ΔPQR≅ΔXYZ

Hence, proved.

Explanation:

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