An equiangular polygon with n sides has \(162\)-degree interior angles. Find the integer n.
+37146 The EXterior angles will be 180 - 162 = 18 degrees
EXterior angles sum to 360
360 / 18 = n
+2668 You could also write it as an equation:
\(n\) = number of sides in the polygon
\(162n=180(n-2)\)
\(162n=180n-360\)
\(0=18n-360\)
\(18n=360\)
\(n = 20\)
So, the polygon has \(\color{brown}\boxed{20}\) sides like Pavlov said.
(His method is the better method tho...)
