SOLUTION: Find the number of sides of a regular polygon if the size of each of its interior angle is as follows. a. 140 degrees b. 162 degrees c. 168 degrees

Algebra ->  Polygons -> SOLUTION: Find the number of sides of a regular polygon if the size of each of its interior angle is as follows. a. 140 degrees b. 162 degrees c. 168 degrees      Log On


   

Question 1006818: Find the number of sides of a regular polygon if the size of each of its interior angle is as follows.
a. 140 degrees
b. 162 degrees
c. 168 degrees
Found 2 solutions by josgarithmetic, dkppathak:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Learn to find the relationship yourself, between number of sides and the measure of one interior angle. You can make simple drawings of the figures and cut into separate triangles and calculate. 

n        meas. of one angle
3         60
4         90
5         108
6         120
any n     highlight%28180%28n-2%29%2Fn%29

You know what to do now.


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Set the expression or formula equal to 140 and find n=9 sides.

Answer by dkppathak(439) About Me  (Show Source):
You can put this solution on YOUR website!
Find the number of sides of a regular polygon if the size of each of its interior angle is as follows.
a. 140 degrees
b. 162 degrees
c. 168 degrees
angle =(n-2)x180/n
140=(n-2)x180/n
140n=180n-360
140n-180n=-360
-40n=-360
n=9
same way
162n=180n-360
162n-180n=-360
-18n=-360
n=20
similarly
168n=180n-360
-12n=-360
n=30