Question

Determine if the statement is always, sometimes or never true. There are 300 degrees in the sum of the interior angles of a polygon.
A. Always
b.Sometimes
C.Never

Answer 1

Answer with explanation:

Sum of interior angles of any polygon having , n sides = (n-2)×180°

It is given that, sum of interior of any polygon =300°

A.T.Q

→ (n-2)×180=300

$n-2=\frac{300}{180}\\\\ n=2+\frac{30}{18}\\\\n=\frac{66}{18}\\\\ n=3\frac{2}{3}$

→Means that ,number of sides of the polygon is a fraction,which is Impossible.

Hence, we can conclude that,it is Impossible to have, 300 degrees in the sum of the interior angles of a polygon.

Option C: Never