in each of the figure given below verified by measurement that PQ + RS = PS - QR
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Correct option is A)
Given PS=PR,∠TPS=∠QPR
we have to prove that PT=PQ
In△PSR,
PS=PR(given)
∴∠PSR=∠PRS−(i)
{ Angles opposite to equal sides of a △le are equal}
∴∠TPS+∠PTS=∠QPR+∠PQR
(An exterior angle of a △le is equal to the sum of its two interior opposite angle)
⟹∠PTS=∠PQR
∴∠PTQ=∠PQT∴PT=PQ
(sides opposite to equal angles of a △le are equal).
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