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Q.

The measure of each exterior angle of a regular pentagon is ____.


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Detailed Solution

The measure of each exterior angle of a regular pentagon is 72 ° .
For a pentagon to be regular, all the side lengths and angle measures must be equal.
Next, for any regular polygon with n sides, the measure of its exterior angle is given by the relation 360 ° n .
Now, as we know that in a pentagon the number of sides is 5, so using the relation as stated above, we have, the value of its exterior angle as,
360 ° 5 = 72 °
So, the measure of each exterior angle of a regular pentagon is found to be 72 ° .
 
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