Question 23

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waecmaths question: 

Find the value of x in the diagram

Option A: 

50o

Option B: 

30o

Option C: 

22o

Option D: 

17o

waecmaths solution: 

The total exterior angles is 360o\[\begin{align}  & (2x)+(3x-54)+(5x)+(4x)+(3x)+(2x+10)+(x+64)={{360}^{\circ }} \\ & (20x)+{{20}^{\circ }}={{360}^{\circ }} \\ & {{(20x)}^{\circ }}={{340}^{\circ }} \\ & x=\frac{{{340}^{\circ }}}{20}={{17}^{\circ }} \\\end{align}\]

maths year: