Difference between revisions of "1950 AHSME Problems/Problem 12"
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==Solution== | ==Solution== | ||
| − | + | By the Exterior Angles Theorem, the exterior angles of all convex polygons add up to <math>360^\circ,</math> so the sum <math>\boxed{\mathrm{(C)}\text{ remains constant}.}</math> | |
==See Also== | ==See Also== | ||
Latest revision as of 16:40, 27 February 2016
Problem
As the number of sides of a polygon increases from 
to 
, the sum of the exterior angles formed by extending each side in succession:
Solution
By the Exterior Angles Theorem, the exterior angles of all convex polygons add up to 
so the sum 
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
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| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
