Question 976667
The sum of the interior and exterior angles must be 180 deg.
Let x = the measure of the exterior angle
Then x + 3x = 180 -> 4x = 180 -> x = 45
The exterior angles of a regular polygon add up to 360, which means each exterior angle is 360/n [n=number of sides]
So we have 360/n = 45 -> n = 360/45 = 8
So the polygon is an octagon (8 sides)