Q. 34.4( 22 Votes )
In the figure, PQRS is an isosceles trapezium; ∠SRP = 30°, and ∠PQS = 40°. Calculate the angles ∠RPQ and ∠RSQ.

Answer :
Given:
PQRS is an Isosceles Trapezium.
∠SRP = 300
∠PQS = 400
From the figure, we can say that,
⇒ ∠PQS = ∠RSQ (alternate angles on both sides of traversal line)
So, ∠RSQ = 400.
Also,
⇒ ∠SRP = ∠RPQ (alternate angles on both sides of traversal line)
So, ∠RPQ = 300.
The values of ∠RSQ and ∠RPQ is400 and 300.
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