Correct Answer: Option E

Explanation

< STR = \(\frac{180 - 52}{2}\) = \(\frac{128}{2}\) = 64^o

< PTR = 180 - < STR(angle on a straight line)

= 180 - 64 = 116^o

< PQR + < PTR = 180(Supplementary)

< PQR + 118 = 180

< PQR = 180 - 118

= 64

M = 180 - < PQR

= 180 - < PQR = 180 - 64

= 116^o

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