Math, asked by akshita3439, 3 months ago

what is the answer dear's ....​

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Answered by s13397adisha2258
33

Answer:

Answer

Given triangle PQR, PR>PQ and PS bisects ∠QPR

In ΔPQR

PR>PQ ....(Given )

∴∠PQR>∠PRQ (Angle opposite side of the longer side is greater)

In ΔPQS and RPS

∠PQR=∠PQS=180−(∠PSQ+∠QPS)

∠PRQ=∠PRS=180−(∠PSR+∠RPS)

Given PS is bisector of ∠QPR

Then ∠QPS=∠PRQ

∠PQR>∠PRQ

∴180−(∠PSQ+∠QPS)>180−(∠PSR+∠RPS) ( ∠QPS=∠PRQ)

⇒∠PSQ>∠PSR

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i hope its help as

Answered by Anonymous
6

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