Angles Of Polygons 2

30 + 6 + 9(36) = 360

Explanation

30 + 6 + 9(36) = 360

Sum of ext angles = 360
sum of int angles = (n-2)180
polygon with n sides has n angles.

2. Name the regular polygon whose interior angle is four times as large as its exterior angle.

Square

Regular hexagon

Regular octagon

Regular decagon

Regular nonagon

Ext angle = 180 / (1+4) = 36
No. of sides = 360 / 36 = 10

Explanation

Ext angle = 180 / (1+4) = 36
No. of sides = 360 / 36 = 10