Difference between revisions of "2005 iTest Problems/Problem 22"
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Latest revision as of 19:07, 13 October 2025
Problem
A regular 
-gon has 
diagonals. What is the measure of its exterior angle, in degrees? (An exterior angle is the supplement of an interior angle.)
Solution 1
The formula for the number of diagonals of an -gon is 
. Setting this expression equal to , we find that 
, as must be positive. The exterior angle of a regular polygon with sides in degrees is 
. Plugging in , our desired answer is 
See Also
| 2005 iTest (Problems, Answer Key) | ||
| Preceded by: Problem 21 |
Followed by: Problem 23 | |
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