Difference between revisions of "1966 AHSME Problems/Problem 21"
(Created page with "== Problem == An "<math>n</math>-pointed star" is formed as follows: the sides of a convex polygon are numbered consecutively <math>1,2,\cdots ,k,\cdots,n,\text{ }n\ge 5</math>; ...") |
(→Solution) |
||
| Line 7: | Line 7: | ||
== Solution == | == Solution == | ||
| − | + | <math>\fbox{E}</math> | |
== See also == | == See also == | ||
Revision as of 01:31, 15 September 2014
Problem
An "
-pointed star" is formed as follows: the sides of a convex polygon are numbered consecutively 
; for all values of 
, sides and 
are non-parallel, sides 
and 
being respectively identical with sides 
and 
; prolong the pairs of sides numbered and until they meet. (A figure is shown for the case 
).
Let 
be the degree-sum of the interior angles at the points of the star; then equals:
Solution
See also
| 1966 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
