
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, $ABC$ is a straight line. What is the measure of $\angle CBD,$ in degrees? [asy]
pair A=(0,0);
pair B=(1.5,0);
pair C=(2.5,0);
pair D=(1,1);

draw(D--A--B--C--D--B);

label("$A$",A,S);
label("$B$",B,S);
label("$C$",C,S);
label("$D$",D,N);

label("$35^\circ$",A+(.15,.05),NE);
label("$58^\circ$",D-(.02,.15),S);
label("$45^\circ$",C+(-.35,.05),NW);

[/asy]

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