determine the number of sides in a regular polygon if each interior angle measures to 160
5 years ago
360/?180-160?=18
Since this is a regular polygon, it means all interior angles measure to 160 degrees.
160 = 180*(n-2)/n
160n = 180n - 360
-20n = -360
n = 18 sides
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)*180.
(n - 2) * 180 = 160 * n
(180 * n) - 360 = 160 * n
20 * n = 360
n = 18
5 years ago
Answered By Bill G
360/?180-160?=18
5 years ago
Answered By Muhammad K
Since this is a regular polygon, it means all interior angles measure to 160 degrees.
160 = 180*(n-2)/n
160n = 180n - 360
-20n = -360
n = 18 sides
5 years ago
Answered By Majid B
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)*180.
(n - 2) * 180 = 160 * n
(180 * n) - 360 = 160 * n
20 * n = 360
n = 18