an interior angle of a regular polygon had a measire of 180 what type of polygon is it

Answer:Regular polygon with interior angle as [tex]180^{\circ}[/tex] is not possible.Solution:Need to find the type of regular polygon whose internal angle is [tex]180^{\circ}[/tex]Consider AB be the first side of the regular polygon and BC be the second side. Since required interior angle = [tex]180^{\circ}[/tex], so ∠ABC = [tex]180^{\circ}[/tex] that means ABC is a straight line. Now let say CD be the third side of regular polygon of interior angle [tex]180^{\circ}[/tex]. So ∠BCD =[tex]180^{\circ}[/tex], which means point ABCD are on same line .So we can say whenever we try to make a regular polygon of interior angle [tex]180^{\circ}[/tex]. we get straight line only.So closed curve is never possible with interior angle [tex]180^{\circ}[/tex]Hence regular polygon with interior angle as [tex]180^{\circ}[/tex] is not possible.