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

C. 107o

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