Question

I need help!! please help me

Answer 1

n = 8

Explanation:

interior angle =
`(180(n-2))/(n)`

given that interior angle = 135° then equating gives

`(180(n-2))/(n)` = 135 ( multiply both sides by n to clear the fraction )

180(n - 2) = 135n ← distribute parenthesis on left side

180n - 360 = 135n ( subtract 135n from both sides )

45n - 360 = 0 ( add 360 to both sides )

45n = 360 ( divide both sides by 45 )

n = 8

number of sides is 8