Question

Please help me.

a. Explain how to find the sum of the measures of the angles of an n-gon.



b. Find the sum of the measures of a 17-gon.



c. Explain how to find the sum of the measures of the exterior angles of an n-gon.



d. Find the sum of the measures of the exterior angles of a decagon.

Answer 1

a good concept is to envision the poly drawn inside of a circle

Answer 2

in this case we have a 3-gon .... and it has 3 angles.

if we divide the 360 degrees by the number of angles we get:

360/3 = 120 this would amount to a central angle, but theres a thrm that says that if the angle we want is on the edge of a circle, its half of the central angles value

120/2 = 60.

therefore we have 3 angles of 60 degrees each, giving us a total of 180 degrees

Answer 3

trying to see if my idea hold merit at the moment

Answer 4

woah. Thank you!

Answer 5

almost ... but my thought wasnt quite right, it seems to work only for a triangle

Answer 6

id have to google it to remember what it is that im forgetting

Answer 7

http://www.coolmath4kids.com/interior.html

this should be able to explain it better than i did

Answer 8

Ok thank you!!

Answer 9

good luck