If each exterior angleof a regular polygon is 36°, then it is a regular ___.

hexagon

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pentagon

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octagon

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decagon

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Solution

The correct option is D
decagon

Let the number of sides of the regular polygon = n

$\Rightarrow$ n = $\frac{360 °}{exterior angle}$

= $\frac{360 °}{36 °}$

= 10

The polygon is a regular decagon.

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If each exterior angleof a regular polygon is 36°, then it is a regular ___.

The correct option is D decagon Let the number of sides of the regular polygon = n ⇒ n =360°exterior angle = 360°36° = 10 The polygon is a regular decagon.

The correct option is D
decagon

Let the number of sides of the regular polygon = n

$\Rightarrow$ n = $\frac{360 °}{exterior angle}$

= $\frac{360 °}{36 °}$

= 10

The polygon is a regular decagon.