A delivery company rewards its riders with a small enamel badge shaped as a regular polygon once they complete a set number of rounds without a single late ...
Question 1 Report
A delivery company rewards its riders with a small enamel badge shaped as a regular polygon once they complete a set number of rounds without a single late delivery being logged by the tracking app. On the newest badge, each exterior angle measures \(24^{\circ}\). Work out the number of sides, \(n\), of this badge. (3)
Answer Details
The exterior angles of any polygon, however many sides it has, always sum to exactly \(360^{\circ}\); for a regular polygon, dividing this total by the size of one exterior angle gives the number of sides.
The exterior angles of any polygon sum to \(360^{\circ}\). [1 mark]
Dividing by the given exterior angle: \(n = 360\div24\). [1 mark]
\(n = 15\) sides. [1 mark]
Download The App On Google Playstore
Everything you need to excel in your exams
