
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 $q$. Line $r$ intersects both lines forming angles. $\angle a$ and $\angle b$ are angles on the same side of line $r$ such that $\angle a$ is on line $p$ and $\angle b$ is on line $q$. $\angle a$ is $\frac{1}{6}$ of $\angle b$. Another line $s$ intersects line $q$ at $\angle c$ and $\angle d$ such that $\angle c = \frac{1}{3} \angle b$ and $\angle d+\angle c$ forms a straight line. What is the degree measure of $\angle d$?

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