
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
Given that \(\triangle PQR\) is isosceles with \(PQ = PR\), and \(QRST\) is a rectangle, if \(\angle QPR = 70^\circ\), find the value of \(x + y\) where \(x = \angle PQR\) and \(y = \angle RQT\).

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