Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: A floor decoration is a circle with eight rays pointing from the center.  The rays form eight congruent central angles.  One of the rays points due north.  What is the measure in degrees of the smaller angle formed between the ray pointing East and the ray pointing Southwest?

[asy]

size(3cm,3cm);

draw(unitcircle);

draw((0,0.8)--(0,-0.8),Arrows(HookHead));
draw((-0.8,0)--(0.8,0),Arrows(HookHead));

draw((-0.55,0.55)--(0.55,-0.55),Arrows(HookHead));
draw((-0.55,-0.55)--(0.55,0.55),Arrows(HookHead));

[/asy]
user