Question

Is it possible to have a regular polygon whose each interior angle is ${170}^{\circ }$
State true or false:

• A. True
• B. False

Answer 1

The correct option is A True

Let number of polygon = n (which must be an integer)
Sum of all interior angles is $n\times {170}^o$
Sum of all interior angles of a polygon is ${180}^o(n-2)$
$=>n\times {170}^o={180}^o(n-2)$
$=>{10}^{o}n={360}^o$
$=>n={36}^o$
Yes, Their is a regular polygon whose each interior angle is ${170}^o$