Question

The hexagon GIKMPR and FJN are regular. The dashed line segments form a 360-degree angle. Find the angle of counterclockwise rotation about O that maps JK to FG.

a) 60 degrees
b) 90 degrees
c) 120 degrees
d) 180 degrees

Answer 1

The angle of counterclockwise rotation about O that maps JK to FG is 120 degrees.

Step-by-step explanation:

The angle of counterclockwise rotation about O that maps JK to FG can be found by examining the regular hexagon GIKMPR. Since the hexagon is regular, each interior angle is 120 degrees. Thus, the angle between two sides JK and FG is 120 degrees. Therefore, the answer is c) 120 degrees.