Difference between revisions of "2003 AIME I Problems/Problem 10"
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== Problem == | == Problem == | ||
| − | Triangle <math> ABC </math> is isosceles with <math> AC = BC </math> and <math> \angle ACB = 106^\circ. </math> Point <math> M </math> is in the interior of the triangle so that <math> \angle MAC = 7^\circ </math> and <math> \angle MCA = 23^\circ. </math> Find the number of degrees in <math> \angle CMB. </math> | + | [[Triangle]] <math> ABC </math> is [[isosceles triangle | isosceles]] with <math> AC = BC </math> and <math> \angle ACB = 106^\circ. </math> Point <math> M </math> is in the interior of the triangle so that <math> \angle MAC = 7^\circ </math> and <math> \angle MCA = 23^\circ. </math> Find the number of degrees in <math> \angle CMB. </math> |
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
| + | * [[2003 AIME I Problems/Problem 9 | Previous problem]] | ||
| + | * [[2003 AIME I Problems/Problem 11 | Next problem]] | ||
* [[2003 AIME I Problems]] | * [[2003 AIME I Problems]] | ||
is 
and 
Point 
is in the interior of the triangle so that 
and 
Find the number of degrees in 
