An exterior angle of a regular polygon is 24°. How many sides will the polygon have?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 15
Walking once round any polygon turns you through one full turn, so the exterior angles of every polygon add up to 360°. In a regular polygon they are all equal, so the number of sides is 360° divided by one exterior angle.
Number of sides \(\displaystyle =\frac{360^\circ}{24^\circ}=15\)