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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
QPS - QRK = 31o
QRK + RKQ + KQR = 180
31 + 42 + KQR = 180o
KQR = 180 - 73 = 107o
Source: Myschool Past Questions Archive (Record #23209)