1981 USAMO Problems/Problem 4
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 |
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