Question 1095670

The ratio between an exterior and interior angle is1:8.Find the number of sides
<pre>With E being an exterior angle, and I, an interior angle, we know that: E + I = 180
Therefore, the measure of an exterior angle is: {{{matrix(1,9, 1/(1 + 8), of, "180,", or, 1/9, of, "180,", or, 20^o)}}}
Assuming this is a REGULAR polygon, number of sides is: {{{highlight_green(matrix(1,3, 360/20, or, 18))}}}