Best Answer

- The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula: 180 x (n-2) / n

Substituting with n=18, then the answer is that the interior angle = 160

- The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/n

Substituting with n= 18, then the answer is that the exterior angle = 20

Q: What are the interior and exterior angles of a regular 18 sided polygon?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

A Regular Polygon

octagon interior=135 exterior=45

A quadrilateral.

Hint: in a regular polygon interior plus exterior = 180o, always.

hexagon

Related questions

A Regular Polygon

octagon interior=135 exterior=45

An equilateral triangle.

A quadrilateral.

Square or rectangle

Hint: in a regular polygon interior plus exterior = 180o, always.

The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.

hexagon

4 such as a square

Exterior angles are supplementary with interior angles, so 180-30=150

Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle