Question

Is it possible to have a polygon, whose sum of interior angles is ${4500}^{\circ }$?
State true or false:

• A. True
• B. False

Answer 1

The correct option is A True

Sum of Interior angles of a polygon, having $n$ sides $={180}^{\circ }(n-2)$
Given sum of interior angles is ${4500}^o$
${180}^{\circ }(n-2)={4500}^{\circ }$
$n-2=25$
$n=27$
Since $n$ is an integer so their exist a polygon whose sum of interior angles is ${4500}^{\circ }$