Question 1011166
A regular polygon's interior angle is 8 times as large as its exterior angle
<pre>If number of sides are required, then read on!

Let number of sides be n
A regular polygon has equal angles and sides
Therefore, one of its exterior angles is: {{{360/n}}} (sum of exterior angles of a polygon is {{{360^o}}}), and one of its interior angles is: {{{180 - 360/n}}}
We then get: {{{180 - 360/n = 8(360/n)}}}
{{{180 - 360/n = 2880/n}}}
180n – 360 = 2,880 ------ Multiplying by LCD, n
180n = 2,880 + 360
180n = 3,240
n, or number of sides = {{{3240/180}}}, or {{{highlight_green(18)}}}