Answers

  • Brainly User
2015-11-18T00:44:49+08:00
Full/Complete degree: 360°
Given degree measure of the central angle of the polygon:  6°

To find the number of sides given the central angle 6°:
360° ÷ 6° = 60 sides

The polygon has 60 sides.

Sum of interior angles of the 60-sided polygon: n (side) = 60
= (n - 2) 180°
= (60 - 2) 180°
= (58) 180°
= 10,440° 

The sum of the interior angles of the 60-sided polygon is 10,440°.

Number of diagonals of the 60-sided polygon: n (side) = 60
= n (n - 3)
       2

=  60 (60 -3)
         2

=  60 (57)
      2 

= 3,420
     2

= 1,710 

The 60-sided polygon has 1,710 diagonals.
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