The measure of an interior angle of regular polygon four times the measure of an exterior angle of the same polygon. What is the name of the polygon

Each Exterior Angle = (360 degrees) : (Number of Sides)

Each Interior Angle = 180 - (360 / Number of Sides)

Therefore, since one angle is 4 times the other then,

4 * (360 degrees) / (Number of Sides) = 180 - (360 / Number of Sides)

Number of sides = 10 (it is a decagon)