Question

Is it possible to have a polygon, whose sum of interior angles is ${870}^{\circ }$

Answer: No
State true or false:

• A. True
• B. False

Answer 1

The correct option is A True

If the sum of its interior angles is ${870}^o$
Sum of interior angles of a polygon = ${180}^o(n-2)$
${180}^o(n-2)={870}^o$
$\Rightarrow (n-2)=\frac{29}{6}$

$\Rightarrow n=\frac{41}{6}$
No, their is not exist of such polygon because n is not an integer.