BECE Mathematics 2020 Paper

Concept:A pie chart represents a full circle, and the total angle around a point is $360^{\circ}$.If the data is given in percentages, each item's angle is calculated as:$$\text{Angle} = \frac{\text{Percentage}}{100} \times 360^{\circ}$$Solution:Add the known percentages from the pie chart:$$11\% + 3\% + 5\% + 16\% + 28\% + 22\% = 85\%$$The total budget must equal $100\%$.So, the percentage for Insurance and Taxes is:$$100\% - 85\% = 15\%$$Now, convert this percentage into an angle:$$\text{Insurance and Taxes angle} = \frac{15}{100} \times 360^{\circ}$$$$= \frac{15 \times 360}{100}$$$$= \frac{5400}{100} = 54^{\circ}$$Answer:Option B ($54^\circ$)