Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31o and ∠PKR = 42o, find ∠KQR - SchoolNGR

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Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31o and ...

Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31^o and ∠PKR = 42^o, find ∠KQR

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A 11^o
B 73^o
C 107^o
D 138^o
E 149^o

Correct Answer: Option C

Explanation:

QPS - QRK = 31^o

QRK + RKQ + KQR = 180

31 + 42 + KQR = 180^o

KQR = 180 - 73 = 107^o

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