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Q.

How many numbers of sides of a regular polygon where each exterior angle has a measure of 45°?


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a

8  

b

10   

c

4   

d

6 

answer is A.

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Detailed Solution

Given that, each exterior angle is 45 ° .   We know the sum of exterior angles of polygon is 360 °  .
Applying the formula:
Number of sides of a polygon =Sum of exterior anglesMeasure of an exterior angle
= 360 ° 45 ° =8    Therefore, there are 8 sides of a regular polygon where each exterior angle has a measure of 45°.
Hence, the correct answer is 1.
 
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