
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
Find the angles and sides of the quadrilateral whose vertices are at the midpoints of the sides of an isosceles trapezoid, the diagonals of which are equal to 10 and intersect at an angle of \(40^{\circ}\).

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