Question

Is it possible to have a regular polygon if its interior angle measures ${170}^{\circ }$?

• A. BD only
• B. AD and DC

Answer 1

The correct option is A

BD only

In a regular polygon, $i^{\circ }+e^{\circ }={180}^{\circ }$

${170}^{\circ }+e^{\circ }={180}^{\circ }$

$\therefore e={10}^{\circ }$

$n=\frac{360}{e}$

$=\frac{360}{10}$

=36 (a whole number)

As the number of sides (n)=36 (a whole number,)it is possible to have a regular polygon having interior angle ${170}^{\circ }$