If the measure of an angle adjacent to the given angle is represented by the expression (24x+30)° using the same value for x what is the measure of the adjacent angle? X=5

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

See attachment below and find the equivalent of tan(∠qsr)

Which rotation about its center will carry a regular hexagon onto itself