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Two chords PQ and RS of a circle when produced meet at K. If ∠KPS...

Mathematics
WAEC 1993
Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31o and ∠PKR = 42o, find ∠KQR
  • A. 11o
  • B. 73o
  • C. 107o
  • D. 138o
  • E. 149o
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Correct Answer: Option C
Explanation
QPS - QRK = 31o
QRK + RKQ + KQR = 180
31 + 42 + KQR = 180o
KQR = 180 - 73 = 107o
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