Question 238770
Well a triangle has interior angles totalling 180
     a square has interior angles totalling 360
     a pentagon (5 sided) has interior angles totalling 540
     a hexagon (6 sided) has interior angles totalling 720

so in general a n sided shape has interior angles totalling (n-2)*180. If it is regular n sided shape then each interior angle = (180*(n-2))/n

174 = (180(n-2))/n
174n = 180n-360
174n-180n = -360
-6n=-360
n = 60

180 - 174 = 6 degrees which is the exterior angle