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Question

If PQPS, PQSR, SOR=28o and QRT=65o, then find x & y.
1047313_781a1b722f4a447eaa46d07fa9434d88.png

Solution
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PQSR
PQR=QRT (Alternate interior angle)
x+28=65
x=6528
x=37
InΔPQS
P+Q+S=108 (By angle sum property)
90+x+y=180
90+37+y=180
y=108127
y=53

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