pqrs is a quadrilateral in which PS is parallel to QR and PQ is parallel to SR. prove that angle SPQ is equal to angle SRQ
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Answer:
∠SPQ = ∠SRQ
Step-by-step explanation:
given that PQ ║ SR
& PS intersect both parallel line
=> ∠SPQ + ∠PSR = 180° Eq1
PS ║ QR is also given
& SR intersect both lines
=> ∠PSR + ∠SRQ = 180° Eq2
Equating Eq 1 & Eq 2
=> ∠SPQ + ∠PSR = ∠PSR + ∠SRQ
Cancelling ∠PSR from both sides
=> ∠SPQ = ∠SRQ
QED
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