Difference between revisions of "Mock AIME 6 2006-2007 Problems/Problem 2"
(Created page with "==Problem == Draw in the diagonals of a regular octagon. What is the sum of all distinct angle measures, in degrees, formed by the intersections of the diagonals in the int...") |
|||
| Line 4: | Line 4: | ||
==Solution== | ==Solution== | ||
| − | {{ | + | |
| + | Each diagonal will have an angle with the horizontal base of the octagon as <math>22.5k</math> where <math>k=0,1,\cdots 7</math> | ||
| + | {{alternate solution}} | ||
Revision as of 19:08, 26 November 2023
Problem
Draw in the diagonals of a regular octagon. What is the sum of all distinct angle measures, in degrees, formed by the intersections of the diagonals in the interior of the octagon?
Solution
Each diagonal will have an angle with the horizontal base of the octagon as 
where 
Template:Alternate solution
