Q. 24.4( 8 Votes )

# In the picture of the parallelogram aside, let us calculate and write the value of ∠PRQ.

Answer :

Given PQRS is Parallelogram

Each diagonal bisects the Parallelogram into two congruent triangles

And pair of opposite angles is equal

⇒∠PQR = ∠PSR = 55°

In ΔPSR

∠PSR = 55°, ∠SRP = 70°(given)

⇒ ∠RPS = 180° - (70° + 55°) = 180°- 125° = 55°(angle sum property of a triangle)

Now, PS ∥ QR and PR is transversal

So ∠SPR = ∠PRQ = 125° (alternate angles are equal on the transversal)

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