JAMB Mathematics 2016 Paper

Concept:The total angle in a pie chart is $360^\circ$.Find the unknown sector angle by subtracting the sum of all known sector angles from $360^\circ$.Explanation:Let the angle of the Economics sector be $x$.The sum of all sector angles in a pie chart is $360^\circ$.From the chart: $x + 36^\circ + 54^\circ + 28^\circ + 90^\circ + 120^\circ = 360^\circ$.Add the known angles: $36 + 54 + 28 + 90 + 120 = 328$.So $x + 328^\circ = 360^\circ$.Hence $x = 360^\circ - 328^\circ = 32^\circ$.The total number of students, $80$, is not needed because the question only asks for the angle size.Answer:$32^\circ$Option C