Question

Geometry math question no Guessing and Please show work thank you

Answer 1

we can use

each interior angle formula of any regular polygons

`\theta=(180(n-2))/(n)`

where

n is number of sides

theta is angle

we are given

`\theta=157.5`

now, we can plug it

`157.5=(180(n-2))/(n)`

now, we can solve for n

`1575n=1800\left(n-2\right)`

`n=16`

so, option-C......Answer