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\bigskip 

Math Club

Meeting 0

January 25, 2007

1) We start with an isosceles triangle with angles 50 degree, 50 degree, and
80 degree measures.From the base, we measure 10 and 20 degrees as shown.
What is the measure of the x angle?

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\bigskip 

2) \ 10 steps starway at any point, we can step up 1 or two steps, ( we
never step down). How many different ways can we 

go up?

\bigskip 

3) Let $m$ and $n$\textit{\ }be positive integers. Define se $A=\{\U{3b1} m+%
\U{3b2} n$ where $\U{3b1} ,\U{3b2} $ are all integers\}.

Let $a$ be the smallest positive number in $A$. Prove that $a$ is a divisor
of every element.

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