1950 AMC 12 Problem 12
Attempt Problem 12 of the 1950 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1950 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
12.
As the number of sides of a polygon increases from to the sum of the exterior angles formed by extending each side in succession:
Increases
Decreases
Remains constant
Cannot be predicted
Becomes straight angles
Answer: C
Small hint:
Imagine walking once around the boundary of the polygon
Big hint:
The exterior angles record one complete turn
Solution:
Traversing the polygon and turning through each exterior angle makes one complete turn. Hence the sum is always independent of the number of sides.
Thus, the correct answer is C.
Problem 12 in other years
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
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