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7 votes
Assume the 72-gon is a regular polygon. The measure of one interior angle is how many

degrees, and the measure of one exterior angle is how many degrees?

User Ryan Brown
by
5.4k points

1 Answer

8 votes

9514 1404 393

Answer:

  • interior: 175°
  • exterior: 5°

Explanation:

The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.

exterior angle = 360°/72 = 5°

The interior angle is the supplement of this.

interior angle = 180° -5° = 175°

The measure of one interior angle is 175°; one exterior angle is 5°.

User Papershine
by
7.4k points
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