1981 USAMO Problems/Problem 4: Difference between revisions
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{{USAMO box|year=1981|num-b=3|num-a=5}} | {{USAMO box|year=1981|num-b=3|num-a=5}} | ||
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[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Latest revision as of 18:12, 3 July 2013
Problem
A convex polygon has 
sides. Each vertex is joined to a point 
not in the same plane. If 
are adjacent vertices of the polygon take the angle between the planes 
and 
. The sum of the such angles equals the sum of the angles in the polygon. Show that 
.
Solution
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See Also
| 1981 USAMO (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America. 
