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Two chords PQ and RS of a circle when produced ... - WAEC Mathematics 1993 Question

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
correct option: c
QPS - QRK = 31o
QRK + RKQ + KQR = 180
31 + 42 + KQR = 180o
KQR = 180 - 73 = 107o
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