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x=37° & y=28°
Step-by-step explanation:
<QRT +<QRS =180°
THEREFORE <QRS=115°
<QRS+<RSQ+<SQR= 180°
THEREFORE <RSQ=37°
BY CORRESPONDING ANGLE THEOREM,
<PQS=<QSR= X
SIMI, <PSQ=<SQR=y
Therefore x= 37° and y= 28°.
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