
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 below, lines $m$ and $n$ are parallel. A transversal cuts lines $m$ and $n$ at points A and B respectively, forming a $40^\circ$ angle with line $m$. A second transversal intersects $m$ at C and $n$ at D, not at right angles. Find the measure of angle $y$ which is the angle between the second transversal and line $n$ at D. Assume the angle formed between the first transversal and the second transversal on the same side of the parallel lines is $60^\circ$.

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