Question

If each interior angle of a regular polygon measures 180° how many sides does it have

Answer 1

This is impossible.

Explanation:

The interior angle of a regular polygon is equal to

`(180(n - 2))/(n)`

where n is the number of sides.

Setting this equal to 180°,

`(180(n - 2))/(n) = 180 \\ \\ (n - 2)/(n) = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2`

which is false.