In the figure, PQRS is an isosceles trapezium; ∠SRP = 30°, and ∠PQS = 40°. Calculate the angles ∠RPQ and ∠RSQ.
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Data:PQRS is an isosceles trapezium,
PS = RQ and ∠P = ∠Q
∠SRP = 30° and ∠PQS = 40°
To find : ∠RPQ and ∠RSQ
Proof: ∠RPQ = ∠SRP = 30°
(Alternate angles, PQ || SR)
∠RSQ = ∠PRS = 40°
(Alternate angles, PQ || SR)
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PS = RQ and ∠P = ∠Q
∠SRP = 30° and ∠PQS = 40°
To find : ∠RPQ and ∠RSQ
Proof: ∠RPQ = ∠SRP = 30°
(Alternate angles, PQ || SR)
∠RSQ = ∠PRS = 40°
(Alternate angles, PQ || SR)
if it's help you then don't forget to follow me
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