Question 31

loading...

Prev/Next links

waecmaths question: 

In the diagram, O is the centre of the circle, $\angle SQR={{60}^{{}^\circ }},\angle SPR=y$ and $\angle SOR=3x$ find the value of (x + y)

Option A: 

110o

Option B: 

100o

Option C: 

80o

Option D: 

70o

waecmaths solution: 

\[\begin{align}  & y=\angle SQR={{60}^{\circ }}\text{   }\!\!\{\!\!\text{ Angle in the same segment }\!\!\}\!\!\text{ } \\ & \angle SOR=2\times \angle SQR\text{  }\!\!\{\!\!\text{ }\angle \text{at centre}=2\times \angle \text{ at circf }\!\!\}\!\!\text{ } \\ & 3x=2\times {{60}^{\circ }}={{120}^{\circ }} \\ & x={{40}^{\circ }} \\ & x+y={{40}^{\circ }}+{{60}^{\circ }}={{100}^{\circ }} \\\end{align}\]

maths year: 
maths topics: