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Question
The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is ______.
Solution
The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is 10.
Explanation:
Given: Exterior angle = 36°
As we know that, the sum of exterior angles of a regular polygon is 360°.
Now, the number of sides is calculated as follows:
Number of sides = `360^circ/"Exterior angle"`
= `360^circ/36^circ`
= 10
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