Question

How would I solve this?

Answer 1

Answer:

It is rotated by 72 degrees.

Step-by-step explanation:

• Since it is a regular polygon,

        when u connect all the corners of it to the middle of the polygon, they       will meet at a point i.e, CENTER.

• The sum of the angles subtended by all the sided at the center will be 360 degrees.

• As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.

Because,

$\frac{360}{60} = 6$

• As the polygon rotates every minute and it is rotated for 12 minutes,

$12*6 = 72$

( For every minute, it will be rotated by 6 degrees.

so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)

• So, after 12 minutes it will be rotated by 72 degrees.