SOLUTION: if a polygon is regular and one of the vertex angles is 165 degrees, how many sides must it have?

Algebra.Com
Question 570360: if a polygon is regular and one of the vertex angles is 165 degrees, how many sides must it have?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
if a polygon is regular and one of the vertex angles is 165 degrees, how many sides must it have?
------------
Exterior angles = 180 - 165 = 15 degs
360/15 = 24 sides

RELATED QUESTIONS

If the polygon is regular and one of the vertex angles is 162 degrees. how many sides... (answered by Alan3354)
If the interior angle of a regular polygon is 165 degrees. How many sides does it... (answered by solver91311)
If the measure of one interior angle of a regular polygon is 180 degrees, what is the... (answered by ikleyn)
How many sides does a regular polygon have if one of the exterior angles is... (answered by Alan3354)
If a vertex angle of a regular polygon is equal to 165.6 degrees, how many sides does the (answered by Alan3354)
how many sides does a regular polygon have if each of its interior angle is... (answered by Alan3354)
if the measure of a regular polygons interior angles is 156 degrees, how many sides does... (answered by Alan3354)
The sum of the interior angles of a regular polygon is 2340 degrees. How many sides does... (answered by oberobic)
In the diagram, ABCD is part of a regular polygon. Each interior angle is 165 degrees. (answered by Lola77479)