Question

The measures of one interior angle of a regular polygon is 140o. What is the name of the polygon?

Answer 1

• 140= (n-2)×180/n
• 140n=180n-360
• 180n-140n=360
• 40n=360
• n=360/40
• n=9

Answer 2

nonagon/enneagon

Explanation:

Let n be the number of length of the polygon

(n-2)x180 = 140n

180n - 360 = 140n

n = 9

The name of the polygon is call nonagon/enneagon