Question 27

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Jambmaths question: 

In the diagram above $\angle OPQ$is

Option A: 

90o

Option B: 

53o

Option C: 

36o

Option D: 

26o

Jamb Maths Solution: 

$\begin{align} & PO=OQ\text{  (radius of a circle)} \\ & O\overset{\wedge }{\mathop{P}}\,Q=P\overset{\wedge }{\mathop{Q}}\,O=x\text{ (Base angle of an issoceles }\Delta \text{)} \\ & \text{7}{{\text{4}}^{\text{o}}}+x+x={{180}^{\text{o}}} \\ & 2x={{106}^{\text{o}}} \\ & x={{53}^{\text{o}}} \\ & O\overset{\wedge }{\mathop{P}}\,Q={{53}^{\text{o}}} \\\end{align}$

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