
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
Let  $ABCD$  be a parallelogram with  $AB>BC$  and  $\angle DAB$  less than  $\angle ABC$ . The perpendicular bisectors of sides  $AB$  and  $BC$  intersect at the point  $M$  lying on the extension of  $AD$ . If  $\angle MCD=15^{\circ}$ , find the measure of  $\angle ABC$ 

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