9.
In the given figure, if PR > PQ and PS is the
bisector of ZP, then show that x > y.
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since,PR is greater than PQ
thus in triangle PQR
angle Q is greater than angle R----------------(i)
and we know that angle QPS= angle SPR(PS bisects angle P)--‐----------------(ii)
thus in triangle PQS,
y= 180-(Q+ Angle QPS)
in triangle PSR,
x= 180-(R+ angle SPR)
so from (i) and (ii) we get
x is greater than y
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