What is the name of the regular polygon that measures 140ﾟ
Accepted Solution
A:
Answer:The regular polygon is a nonagonStep-by-step explanation:The correct question isWhat is the name of the regular polygon that each interior angle measures 140ﾟ?we know thatThe formula to find the sum of the interior angles in a regular polygon is equal to[tex]n(a)=(n-2)180\°[/tex]wheren is the number of sides of the regular polygona is the measure of each interior angle of the regular polygonwe have[tex]a=140\°[/tex]substitute in the formula and solve for n[tex]n(140\°)=(n-2)180\°[/tex][tex]140n=180n-360[/tex][tex]180n-140n=360[/tex][tex]40n=360[/tex][tex]n=9\ sides[/tex]soThe regular polygon has 9 sidesthereforeThe regular polygon is a nonagon