
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
Lines $l$ and $k$ are parallel to each other. $m\angle A = 130^\circ$, and $m\angle C = 70^\circ$. What is the number of degrees in $m\angle B$?

[asy]
size(100); real h = 1.2; currentpen = fontsize(10pt);
draw(Label("$l$",Relative(1)),(0,0)--(1,0),E);
draw(Label("$k$",Relative(1)),(0,-h)--(1,-h),E);
draw((0,-h)--h/2*(cos(150*pi/180),sin(150*pi/180)) + (0,-h));
draw(Label("$C$",Relative(1)),(0,0)--h*sqrt(3)/2*(cos(-130*pi/180),sin(-130*pi/180)),W);
label("$A$",(0,0),N); label("$B$",(0,-h),S);
label("$130^\circ$",(0,0),SE); label("$70^\circ$",h*sqrt(3)/2*(cos(-130*pi/180),sin(-130*pi/180))+(0.1,0),E);
[/asy]

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