Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 8"
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| − | + | ==Problem== | |
| + | Let <math>ABCDE</math> be a convex pentagon with <math>AB\sqrt{2}=BC=CD=DE</math>, <math>\angle ABC=150^\circ</math>, <math>\angle BCD=75^\circ</math>, and <math>\angle CDE=165^\circ</math>. If <math>\angle ABE=\frac{m}{n}^\circ</math> where <math>m</math> and <math>n</math> are relatively prime positive integers, find <math>m+n</math>. | ||
| − | [[Mock AIME 1 2006-2007]] | + | ==Solution== |
| + | {{solution}} | ||
| + | |||
| + | ---- | ||
| + | |||
| + | *[[Mock AIME 1 2006-2007/Problem 7 | Previous Problem]] | ||
| + | |||
| + | *[[Mock AIME 1 2006-2007/Problem 9 | Next Problem]] | ||
| + | |||
| + | *[[Mock AIME 1 2006-2007]] | ||
Revision as of 18:39, 22 August 2006
Problem
Let 
be a convex pentagon with 
, 
, 
, and 
. If 
where 
and 
are relatively prime positive integers, find 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
