Math, asked by nikunjnirbhai21, 7 months ago

plz find it i will give u birlent

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Answered by emma3006
1

 \bold{Given \; –} \; ∠PQR = ∠PRQ

\bold{To \; Prove\;  –} \; ∠PQS = ∠PRT \\ \\

\bold {Solⁿ \; – }

 ∠PQR + ∠PQS = 180° \;\;\;\;\;\;\; -----(i)

 ∠PRQ + ∠PRT = 180°    \;\;\;\;\;\;\;-----(ii) \\

 From \; (i) \; \& \; (ii),

 ∠PQR + ∠PQS = ∠PRQ + ∠PRT

 \implies ∠PRQ\!\!\!\!\!\!\!/ \;\;\;+ ∠PQS = ∠PRQ\!\!\!\!\!\!\!/ \;\;\; + ∠PRT \;\;\;\;\;\;\; [∵ ∠PQR = ∠PRQ]

 \implies ∠PQS = ∠PRT

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