Question

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

Answer 1

Regular polygon with interior angle as
`180^(\circ)` is not possible.

Solution:

Need to find the type of regular polygon whose internal angle is
`180^(\circ)`

Consider AB be the first side of the regular polygon and BC be the second side. Since required interior angle =
`180^(\circ)`, so ∠ABC =
`180^(\circ)` that means ABC is a straight line.

Now let say CD be the third side of regular polygon of interior angle
`180^(\circ)`. So ∠BCD =
`180^(\circ)`, which means point ABCD are on same line .So we can say whenever we try to make a regular polygon of interior angle
`180^(\circ)`. we get straight line only.

So closed curve is never possible with interior angle
`180^(\circ)`

Hence regular polygon with interior angle as
`180^(\circ)` is not possible.