Correct Answer: Option E

Explanation

< PRQ = \(\frac{1}{2}\) < POQ = 90o

< PSR + < PQR = 180o

< PQR = 180o - 145o = 35o

\(\bigtriangleup\)PQR is a right angled triangle

x = 90 - < PQR

= 90o - 35o

= 55o

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