From the figure we have a hexagon(six-sided polygon).
Let's find where point F will map onto after a rotation of 60 degrees clockwise.
To find the point, let's find each exterior angle of the hexagon.
Apply the formula:
exterior angle = 180 - interior angle
To find the interior angle, we have:
[tex]\text{Interior angle = }\frac{(n-2)180}{n}[/tex]Where n = 6
Thus, we have:
[tex]\text{Interior angle = }\frac{(6-2)180}{6}=\frac{(4)180}{6}=\frac{720}{6}=120\text{ degr}ees[/tex]For the exterior angle, we have:
Exterior angle = 180 - interior angle
Exterior angle = 180 - 120 = 60 degrees
Since each exterior angle of the given polygon is 60 degrees, after point F is rotated 60 degrees clockwise, the point it will map onto will be the next point to the right.
Therefore, after a rotation 60 degrees clockwise, point F maps onto point E.
ANSWER:
E
