Question

The external angle of a regular polygon is 18° what are the no of sides?

Answer 1

Answer:

Its interior angle is 180 deg - 18 deg = 162 deg. ... Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.Oct 8, 2018

Step-by-step explanation:

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Answer 2

*Answer:

For a regular polygon with n sides, the exterior angle of any side is equal to

$exterior \: angle = \frac{ {360}^{0} }{n}$

Thus in this scenario ,

${18}^{0} = \frac{ {360}^{0} }{n}$

Solve for n , the number of sides in the polygon.

$n( {18}^{0} ) = {360}^{0} \:$

$n = \frac{ {360}^{0} }{ {18}^{0} }$

$n = {20}^{0}$

the number of sides in external angle of polygon is 20