The results of an election are as follows: Agbeke receives 14 times as many votes as Dalaba. Katume receives 11 times as many votes as Dalaba. Dramani receives 52 votes. Quainoo receives 24 votes. The

The total angle in a circle is $360^\circ$. The angle for each contestant is given by $\left(\frac{\text{votes}}{\text{total votes}}\right) \times 360^\circ$.

• Agbeke: $\left(\frac{308/13}{120}\right) \times 360^\circ = \frac{308}{13 \times 120} \times 360^\circ = \frac{308}{13} \times 3^\circ = \frac{924}{13}^\circ \approx 71.08^\circ$
• Katume: $\left(\frac{242/13}{120}\right) \times 360^\circ = \frac{242}{13 \times 120} \times 360^\circ = \frac{242}{13} \times 3^\circ = \frac{726}{13}^\circ \approx 55.85^\circ$
• Dalaba: $\left(\frac{22/13}{120}\right) \times 360^\circ = \frac{22}{13 \times 120} \times 360^\circ = \frac{22}{13} \times 3^\circ = \frac{66}{13}^\circ \approx 5.08^\circ$
• Dramani: $\left(\frac{52}{120}\right) \times 360^\circ = 52 \times 3^\circ = 156^\circ$
• Quainoo: $\left(\frac{24}{120}\right) \times 360^\circ = 24 \times 3^\circ = 72^\circ$

To draw the pie chart, you would divide a circle into sectors with these angles.

$$\text{Percentage} = \frac{\text{Winner's votes}}{\text{Total votes}} \times 100\%$$ $$\text{Percentage} = \frac{52}{120} \times 100\%$$ $$\text{Percentage} = \frac{5200}{120}\%$$ $$\text{Percentage} = \frac{520}{12}\%$$ $$\text{Percentage} = \frac{130}{3}\%$$ $$\text{Percentage} = 43\frac{1}{3}\%$$

The percentage of total votes the winner obtained is $\boxed{43\frac{1}{3}\%}$.