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

Mathematics
WAEC 2020

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\(^o\)
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Correct Answer: Option A
Explanation

< 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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