In the diagram, O is the centre of the circle, < QPS = 100o, <...

Mathematics

WAEC 2016

In the diagram, O is the centre of the circle, < QPS = 100^o, < PSQ = 60^o and < QSR. Calculate < SQR

A. 20^o
B. 40^o
C. 60^o
D. 80^o

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Correct Answer: Option A

Explanation

In the diagram, < RPQ = 80^o(angles in same segment)

< SPR = 100^o - < RPQ

= 100 - 80

= 20^o

< SQR = < SPR = 20^o (same reason as above)

< SQR = 20^o

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In the diagram, O is the centre of the circle, < QPS = 100o, <...

Correct Answer: Option A

Explanation

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