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A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?

14°
21°
35°
42°

Respuesta :

alucas911

Answer:

D. 42

Step-by-step explanation:

The total angle by which the 60 sided polygon will have rotated after 7 minutes is; 42°

  • The formula for exterior angles of a polygon with n sides is;

Exterior angle = 360/n

  • We are given a polygon with 60 sides.

Thus,

Size of each exterior angle = 360/6

Size of each exterior angle = 6°

  • Now, we are told that the polygon rotates each minute. This means every minute it rotates, it will rotate by 6°.

  • Thus, for 7 minutes, the polygon would have rotated 7 times with a total rotation angle of; 6° * 7 = 42°

Read more about exterior angles of a polygon at; https://brainly.com/question/2546141

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