Alex draws an angle that measures $$ 110^{\circ} $$. He then draws a ray that divides the angle into 2 equal parts. What is the measure of each smaller angle?

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1. Let each of the two smaller angles have a measure of $$ x $$.  
2. Since the ray divides the $$ 110^\circ $$ angle into two equal parts, we have:  
   $$
   2x = 110^\circ
   $$
3. Solving for $$ x $$:
   $$
   x = \frac{110^\circ}{2} = 55^\circ
   $$

Each smaller angle measures $$ 55^\circ $$.
Each smaller angle measures $$ 55^\circ $$.

Alex draws an angle that measures
. He then draws a ray that divides
the angle into 2 equal parts. What is the
measure of each smaller angle?

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Alex draws an angle that measures . He then draws a ray that divides the angle into 2 equal parts. What is the measure of each smaller angle?