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

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Mathematics WAEC 1993

Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31o and ∠PKR = 42o, find ∠KQR

  • 11o
  • 73o
  • 107o checkmark
  • 138o
  • 149o

The correct answer is: C

Explanation

QPS - QRK = 31o
QRK + RKQ + KQR = 180
31 + 42 + KQR = 180o
KQR = 180 - 73 = 107o
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