Question 6

Jambmaths question: 

From the diagram above, find the value of $\angle OTQ$

 

Option A: 

230o

Option B: 

55o

Option C: 

115o

Option D: 

.65o

Jamb Maths Solution: 

$\begin{align}  & \angle OTQ=\tfrac{1}{2}(\angle OPQ) \\ & \text{          }\!\!\{\!\!\text{ }\angle \text{ at circumf}=\tfrac{1}{2}\times \angle \text{ at centre }\!\!\}\!\!\text{ } \\ & \angle OTQ=\tfrac{1}{2}\times {{130}^{\circ }}={{65}^{\circ }} \\\end{align}$

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