Question

Mr X is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table. [4 MARKS]

Answer 1

Concept: 1 Mark
Solution: 3 Marks

$\begin{array}{cccccc}Numberofspokes& 3& 6& 9& 12& 15\\ Anglebetweenapair& 90& 60& x_1& x_2& x_3\\ ofconsecutivespokes& & & & & \end{array}$

$6\times 60=9x_{1}or{x}_1=\frac{6\times 60}{9}={40}^{\circ }$

$6\times 60=12x_{2}or{x}_2=\frac{6\times 60}{12}={30}^{\circ }$

$6\times 60=15x_{3}or{x}_3=\frac{6\times 60}{15}={24}^{\circ }$