Question

In figure, PQRS is a quadrilateral in which PQ||SR and PS||QR.Prove that ​<SPQ=<SRQ.

Answer 1

Answer:

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Answer 2

Answer:

Given:

PS || QR and PQ || SR.

To proove:

<SPQ=<SRQ

Proof:

Draw a diagnol PR.

Since,PQ || SR and PR is the transversal.

=> <QPR = <SRP -> (1) [Alternate interior angles]

Similarly, PS || QR and PR is the transversal.

=> <SPR=<QRP -> (2) [Alternate interior angles]

Adding (1) & (2) ,

=> <QPR + <SPR = <SRP + <QRP

=> <SPQ = <SRQ.

Hence, proved .

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