
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 acute triangle $ABC$, $a$, $b$, and $c$ represent the sides opposite angles $A$, $B$, and $C$, respectively. They satisfy the relationship $\sqrt{3}a = 2b\sin A$.

1. Find the measure of angle $B$.
2. If $a + c = 5$ and $b = \sqrt{7}$, find the area of triangle $ABC$.

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