Question

The 12 sided polygon shown is regular. Suppose the polygon is rotated counter-clockwise about its center so that AB maps onto FG. What is the angle or rotation?

Answer 1

210 degrees

Step-by-step explanation:

In symmetrical rotation i.e for the polygon to appear to be in the same place

The angle of rotation = 360/number of sides of the polygon

Number of sides=12

Therefore, Angle of rotation = 360/12=30 degrees

For AB to map onto FG, the polygon will have been rotated symmetrically seven times.

Therefore, the angle of rotation such that AB maps onto FG

= 30 x 7

= 210 degrees.