For a regular n-gon:
a. What is the sum of the measures of its angles?
b. What is the measure of each angle?
c. What is the sum of the measures of its exterior angles, one at each vertex?
d. What is the measure of each exterior angle?
e. Find the sum of your answers to parts b and d. Explain why this sum makes sense.

Question

For a regular n-gon: 
a. What is the sum of the measures of its angles? 
b. What is the measure of each angle? 
c. What is the sum of the measures of its exterior angles, one at each vertex? 
d. What is the measure of each exterior angle? 
e. Find the sum of your answers to parts b and d. Explain why this sum makes sense.

highschoolmom2010 · Answer

a. (n-2)180

primeralph · Answer

B. divide your answer in (a) by n

primeralph · Answer

C. 360

primeralph · Answer

D. 360/n

primeralph · Answer

do E by yourself.

highschoolmom2010 · Answer

no value was given for n though

bahrom7893 · Answer

n depends on the number of angles.

highschoolmom2010 · Answer

no value wsa given for n so how do i do e.

bahrom7893 · Answer

(n-2)*180/n + 360/n = ( (n-2)*180 + 360 )/n =(180n-360+360)/n = 180n/n = 180

highschoolmom2010 · Answer

so n in the end just equals 180?

bahrom7893 · Answer

no, no matter what your n is, you end up with 180.