Question 21

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waecmaths question: 

The diagram is a circle centre O, If $\angle SPR=2m$ and $\angle SQR=n$ express m in terms of n

Option A: 

$m=\tfrac{n}{2}$

Option B: 

m = 2n

Option C: 

m = n - 2

Option D: 

m = n + 2

waecmaths solution: 

Assume the triangle SPR and SQR are cyclic triangle, both have the same base SR and point P and Q on the circumference of the circle. It implies that $\angle SPR$and $\angle SQR$are on the same segment. Therefore 2m = n, m = $\frac{n}{2}$

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