1. **State the problem:** We have a pie chart representing students' favorite sports with angles for Cricket (94°), Tennis (45°), and Football (x°). We need to find: (i) The value of $x$ (Football angle). (ii) The percentage of students who chose Cricket. (iii) The total number of students given 40 chose Tennis. 2. **Formula and rules:** - The sum of all angles in a pie chart is always $360^\circ$. - Percentage for a sector = $\frac{\text{sector angle}}{360} \times 100$. - Number of students in a sector = $\frac{\text{sector angle}}{360} \times \text{total students}$. 3. **Calculate $x$:** $$x + 94 + 45 = 360$$ $$x + 139 = 360$$ $$x = 360 - 139 = 221$$ So, $x = 221^\circ$. 4. **Calculate percentage for Cricket:** $$\text{Percentage} = \frac{94}{360} \times 100 = \frac{94 \times 100}{360} \approx 26.11\%$$ 5. **Calculate total number of students:** Given Tennis angle = $45^\circ$ and Tennis students = 40, Using the formula: $$40 = \frac{45}{360} \times \text{Total}$$ Multiply both sides by $\frac{360}{45}$: $$\text{Total} = 40 \times \frac{360}{45} = 40 \times 8 = 320$$ **Final answers:** (i) $x = 221^\circ$ (ii) Cricket percentage $\approx 26.11\%$ (iii) Total students = 320