An exterior angle measure of a regular polygon is given. find the number of its sides and the measure of each interior angle. 60°(this is the extirior angle) the regular polygon has __ sides and each of its interior angles measures °.

The size of interior angle=180-60=120°(angles at a point)
The equation to calculate the total angle measure of a polygon is ((number of sides)-2)×180°
Let x be the number of size
(x-2)×180°=120x
x-2=2x/3
3(x-2)=2x
3x-6=2x
x=6
So the polygon has 6 sides and each interior angle is 120°