Answer: Pentagon
Step-by-step explanation:
Since, an interior angle of a regular polygon is,
[tex]\frac{(n-2)\times 180^{\circ}}{n}[/tex]
Where n is the number of sides of the polygon,
According to the question,
[tex]\frac{(n-2)\times 180^{\circ}}{n}=108^{\circ}[/tex]
[tex]\implies 180n - 360 = 108n[/tex]
[tex]\implies 180 n - 108 n = 360[/tex]
[tex]\implies 72 n = 360[/tex]
[tex]\implies n = 5[/tex]
Thus the number of sides of the given regular polygon is 5,
⇒ It is a pentagon.
