Question

The regular hexagon shown above has an interior angle of 60°. What is the angle of rotation when vertex B is mapped onto vertex F in a clockwise rotation?

Answer 1

Answer: Angle of rotation when ∠B mapped onto ∠F is 240°.

Explanation:

In a regular hexagon all the interior angles are same and hence regular hexagon has six symmetrical shapes.

Also, we know that the sum of the interior angles of a regular hexagon is 360°

Hence, angle of rotation for a hexagon is 360°÷6 = 60°.

Now, in moving from B to F in clockwise direction we have to take 4 rotations.

Hence, the angle of rotation when ∠B is mapped onto ∠F is 4×60°= 240°.