Question 1096797

Can someone help me with this question?
The sum of the measures of the interior angles of a polygon is five times the sum of the measures of its exterior angles, one angle at each vertex. How many sides does the polygon have?
Thank you!
<pre>The sum of the exterior angles of ANY polygon is {{{360^o}}}
Since the sum of the INTERIOR angles is 5 times the sum of the EXTERIOR angles, then the sum of the INTERIOR angles is: 5(360) = 1,800<sup>o</sup>
Formula for sum of interior angles (S) of a polygon: S = 180(n - 2), with n being the number of sides
1,800 = 180(n - 2)
180(10) = 180(n - 2)
10 = n - 2
n, or number of sides = {{{highlight_green(matrix(1,3, 10 + 2, "=", 12))}}}