In the diagram, PQR is a circle with center O. If OPQ = 48°, find the value of M.

  • A 96\(^o\)
  • B 90\(^o\)
  • C 68\(^o\)
  • D 42\(^o\)

The correct answer is A. 96\(^o\)

< O\(Q\)P = 48\(^o\) (base angles of isoceles \(\triangle\))

m = 48\(^o\) + 48\(^o\) = 96\(^o\) (exterior angle of a \(\triangle\))

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