Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 8"
| Line 1: | Line 1: | ||
8. 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>. | 8. 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]] | ||
Revision as of 14:57, 24 July 2006
8. Let 
be a convex pentagon with 
, 
, 
, and 
. If 
where 
and 
are relatively prime positive integers, find 
.
