Question

Find number of sides of a regular polygon whose measure of each interior angle is 115 degree

Answer 1

Answer:

Doesn't Exist

Step-by-step explanation:

$s _n = 180(n - 2) \\ 115n = 180(n - 2) \\ 115n = 180n - 360 \\ 360 = 65n \\ n = 5.53$

If each equal interior angle measures 115°, sides come near to 6 but not exactly 6. If each interior angle is equal of 115°. It is not possible...

Hence such polygon doesn't exist.