Mathematics

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

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
Correct Answer: Option C
Explanation

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