Question

the measure of each exterior angle of a regular polygon is 90 degree. find the numberof sides of the polygon and hence the measure of each interior angle.​

Answer 1

Answer:

Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees. Exterior angles of any polygon always add up to 360 degrees. With the polygon being regular, we can just divide 360 by 30 to get 12 sides.

Hope the above helps