Question 689819
The exterior and interior angles are supplementary (adding to {{{180^o}}}), so
{{{(x+3)+(13x-33)=180}}} --> {{{14x-30=180}}} --> {{{14x=180+30}}} --> {{{14x=210}}} --> {{{x=210/14}}} --> {{{x=15}}}
1. The measure of the exterior angle is
{{{15^o+3^o=highlight(18^o)}}}
The measure of the supplementary interior angle is
{{{180^o-18^o=highlight(162^o)}}}
 
2.The sum of all {{{n}}} exterior angles is {{{360^o}}}, so
{{{18n=360}}} --> {{{n=360/18}}} --> {{{highlight(n=20)}}}