
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the diagram, square $WXYZ$ has sides of length $6$, and $\triangle WXY$ is isosceles with $WX = WY = 6$. Line segments $XY$ and $WZ$ intersect at point $R$. Point $S$ is on line segment $YZ$ such that $RS$ is perpendicular to $YZ$. Determine the measure of angle $XRS$. [asy]
pair W, X, Y, Z, R, S;
W=(0,0);
X=(6,0);
Y=(6,-6);
Z=(0,-6);
R=(3,-3);
S=(6,-3);
draw(W--X--Y--Z--W--Y);
draw(X--Z);
draw(R--S, dashed);
label("W", W, NW);
label("X", X, NE);
label("Y", Y, SE);
label("Z", Z, SW);
label("R", R, W);
label("S", S, dir(0));
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user