Question

how many sides does a regular polygon have if the measure of an exterior angle is 24°

Answer 1

${ Hey dear }$


Here is your answer


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As you know that

sum of exterior angle is = 360 degree


given exterior angle is 24


we assume n


24 * n = 360

24n = 360

n = 360 / 24

n = 15


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Answer 2

Answer: The number of sides of a regular polygon is 15

Step-by-step explanation:

Given Exterior angle is 24°

As we know the sides of a regular polygon is division of 360° by exterior angle

Let n be the number of  sides of  a regular polygon

Therefore,

$n=\dfrac{360^\circ}{\text{exterior angle}}= \dfrac{360^\circ}{24^\circ} =15$

Hence, the number of sides of a regular polygon is 15