Question

Choose the correct answer from the alternatives given.
Difference between the interior and exterior angles of regular polygon is ${60}^{\circ }$. The number of sides in the polygon is:

• A. $5$
• B. $6$
• C. $8$
• D. $9$

Answer 1

The correct option is B $6$

Let interior angle be 1 and c\rerior angle be E
We know that,
I+E=${180}^{\circ }$ (1)
Given that.
I- E= ${60}^{\circ }$ (2)
On solving (1) and (2). we get I = ${120}^{\circ }$ and E = ${60}^{\circ }$
Number of sides = ${360}^{\circ }$/${60}^{\circ }$ = $6$