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krok68 [10]
2 years ago
8

The interior angle of a regular polvgon is 9 times the size of its exterior angle

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
3 0
<h3>Answer:   20 sides</h3>

==================================================

Work Shown:

x = exterior angle

9x = interior angle

interior + exterior = 180

9x+x = 180

10x = 180

x = 180/10

x = 18

n = number of sides

n = 360/x

n = 360/18

n = 20

There are <u>20</u> sides to the regular polygon.

Side notes:

  • The formula to determine n only works for regular polygons.
  • A polygon with 20 sides is known as an icosagon.
  • Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.
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