Question

Find the measure of each exterior angle of a regular polygon of 15 sides. (3 marks)

Answer 1

Sum of exterior angles of a regular polygon $={360}^{\circ }$ (1 mark)
Each exterior angle of a regular polygon has the same measure. (1 mark)
Thus, measure of each exterior angle angle of a regular polygon of 15 sides
$=\frac{{360}^{\circ }}{15}={24}^{\circ }$ (1 mark)