SOLUTION: if one interior angle of an equiangular n-gon is 156, how many sides does the n-gon have?

Question 386719: if one interior angle of an equiangular n-gon is 156, how many sides does the n-gon have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if one interior angle of an equiangular n-gon is 156,
how many sides does the n-gon have?
---------------
Each corresponding angle is 180-156 = 24 degrees.
-----
Fact: sum of the exterior angles is 360 degrees.
-----
# of exterior angles = 360/24 = 15
----
Therefore # of sides is 15.
==============================
Cheers,
Stan H.

RELATED QUESTIONS
ach angle of a regular n-gon measures 156 degrees. How many sides does the n-gon... (answered by stanbon)

in a regular n-gon it has interior angles of 156 so how many sides does it... (answered by drk)

Pls Help! : Each interior angle of a regular n-gon is 156. Calculate the value of n. (... (answered by stanbon)

each interior angle of the regular n-gon has a measure of 156. what is n (answered by stanbon)

how many sides does an equiangular polygon have if each interior angle measures... (answered by dabanfield)

how many sides does an equiangular polygon have if each interior angle measures... (answered by Alan3354)

For an equiangular n-gon, each interior angle can be found using the... (answered by Alan3354)

Each interior angle 'a' in a regular n-gon has a measure of a=20n. How many sides does... (answered by ikleyn)

the measure of an interior angle of a regular n gon is 140 degrees, how many sides are in (answered by stanbon)