SOLUTION: i want to know how many sides a regular polygon will have if each interior angle is 165 degrees each

Question 242439: i want to know how many sides a regular polygon will have if each interior angle is 165 degrees each
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how many sides a regular polygon will have if each interior angle is 165 degrees each
---------------
The corresponding exterior angle must be 180-165 = 15 degrees
------------------
The sum of ALL the exterior angles is 360 degrees.
------------------
# of exterior angles is 360/15 = 24
------------------
Therefore the number of sides is 24
===========================================
Cheers,
Stan H.
RELATED QUESTIONS
how many sides does a regular polygon have if each of its interior angle is... (answered by Alan3354)

#8. If the measure of each oexterior angle f a polygon is 6 degrees. Then how many sides... (answered by stanbon)

In the diagram, ABCD is part of a regular polygon. Each interior angle is 165 degrees. (answered by Lola77479)

If the interior angle of a regular polygon is 165 degrees. How many sides does it... (answered by solver91311)

If each interior angle of a regular polygon is 58 degrees, how many sides does the... (answered by Alan3354)

How many sides does a regular polygon have if each interior angle measures 90... (answered by stanbon)

how many sides does a regular polygon have if the measure of each interior angle is 150... (answered by stanbon)

If each interior angle of a regular polygon measures 140 degrees, how many sides does the (answered by Alan3354)

Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the... (answered by solver91311,MathLover1,Alan3354)