
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
Line $p$ is parallel to line $q$, and the measure of $\angle A$ is $\frac{1}{10}$ the measure of $\angle B$. Determine the degree measure of $\angle C$. [asy] size(100); defaultpen(linewidth(0.7)+fontsize(9));
path p = (-1.35,0.72)--(0.45,0.72), q = (-1,0)--(1,0), r = (-0.67,1.09)--(0.27,-0.48);

pair A = intersectionpoints(p,r)[0], B = intersectionpoints(q,r)[0];
draw(p,Arrows(4)); draw(q,Arrows(4)); draw(r,Arrows(4));

label("$r$",(0.27,-0.48),SE); label("$q$",(1,0),NE); label("$p$",(0.45,0.72),NE);
label("$A$",A,(-2.5,1.5));
label("$B$",B,(1,1));
label("$D$",B,(-2.5,1.5));
label("$E$",B,(-1,-1));
label("$C$",B,(2.5,-1.5));
[/asy]

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