pqrs is a quadrilateral in which pqrs
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pqrs is a quadrilateral in which pqrs
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PQRS is a quadrilateral with PQ parallel to SR and PS is parallel to QR. To prove that <SPQ = <SRQ.
Proof: PQ and SR are parallel lines and PS is a transversal, hence <SPQ + <PSR = 180 degrees.
Also PS and QR are parallel lines and SR is a transversal, hence <PSR + <SRQ = 180 degrees.
Therefore <SPQ + <PSR = 180 = <PSR + <SRQ or <SPQ = <SRQ. Proved.
Proof: PQ and SR are parallel lines and PS is a transversal, hence <SPQ + <PSR = 180 degrees.
Also PS and QR are parallel lines and SR is a transversal, hence <PSR + <SRQ = 180 degrees.
Therefore <SPQ + <PSR = 180 = <PSR + <SRQ or <SPQ = <SRQ. Proved.
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