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

MATHEMATICS

WAEC 1993

Two chords PQ and RS of a circle when produced meet at K. If ?KPS = 31° and ?PKR = 42⪚, find ?KQR

A. 11°
B. 73°
C. 107°
D. 138°

Correct Answer: C. 107°

Explanation

QPS - QRK = 31^o

QRK + RKQ + KQR = 180

31 + 42 + KQR = 180^o

KQR = 180 - 73 = 107^o

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