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Question
The number of sides of a regular polygon where each exterior angle has a measure of 45° is ______.
Options
8
10
4
6
Solution
The number of sides of a regular polygon where each exterior angle has a measure of 45° is 8.
Explanation:
We know that, the sum of exterior angles taken in an order of a polygon is 360°.
Since, each exterior angle measures 45°,
Therefore the number of sides
= `"Sum of exterior angles"/"Measure of an exterior angle"`
= `360^circ/45^circ`
= 8
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