Question 1152296



Let {{{n}}} be the number of sides of a regular polygon whose interior angles are each {{{176}}}°. 

Then 

 {{{Exterior_ angle = 360/n}}}° where {{{n}}} is the number of sides 
so:

{{{Interior _Angle = 180 360/n}}} ° ....substitute  interior angle {{{176}}}°

{{{176 = 180- 360/n}}} 

{{{176 = (180n- 360)/n}}} 

{{{176n = 180n- 360}}} 

{{{ 360= 180n-176n }}} 

{{{ 360= 4n }}} 

{{{ 360/4= n }}} 

{{{n=90}}}