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Question

STR is an isosceles triangle where ST=TR
Also PT = TR,
and TSP = TRQ
Find the angle of PST that corresponds to RQT of RQT.


A
PST
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B
STP
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C
TPS
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D
Cannot be determined
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Solution

The correct option is A PST
In PTS and QTR
TSP = TRQ (given)
ST = TR (given)
PTS = QTR (vertically opposite angles)

Hence PTS QTS by ASA criterion for congruency of triangles

Hence the angle of PST that corresponds to RQT of RQT is PST

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