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

$\theta=\frac{180(n-2)}{n}$

where

n is number of sides

theta is angle

we are given

$\theta=157.5$

now, we can plug it

$157.5=\frac{180(n-2)}{n}$

now, we can solve for n

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

$n=16$

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