Question 709179
(n-2)*180, how many degrees for sum of measures of the interior angles.
(n-2)*180/n, how may degrees in one interior angle because the polygon has n angles.


{{{highlight((n-2)*180/n=162)}}}
Find n.


180 and 162 are divisible by 18.
This then is equivalent: {{{(n-2)*10/n=9}}}
(n-2)10=9n
10n-20=9n
n=20