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

The correct answer is C. 107o

QPS - QRK = 31o

QRK + RKQ + KQR = 180

31 + 42 + KQR = 180o

KQR = 180 - 73 = 107o

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