Question 40

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Jambmaths question: 

On a pie chart, there are six sectors of which four are 30o, 45o, 60o, 90o and the remaining two angles are in ration 2:1. Find the smaller angles of the remaining two angles

Option A: 

15o

Option B: 

30o

Option C: 

45o

Option D: 

60o

Jamb Maths Solution: 

$\begin{align} & \text{The total angle in a pie chart is }{{360}^{\circ }} \\ & {{30}^{\circ }}+{{45}^{\circ }}+{{60}^{\circ }}+{{90}^{\circ }}+2x+x={{360}^{\circ }} \\ & 3x={{360}^{\circ }}-{{225}^{\circ }}={{135}^{\circ }} \\ & x={{45}^{\circ }} \\\end{align}$

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