Step 1: Understanding the Concept:
The addition of bromine ($Br_2$) to an alkene is an electrophilic addition reaction where one bromine atom adds to each carbon of the double bond.
Step 2: Formula Application:
$R-CH=CH-R' + Br_2 \to R-CH(Br)-CH(Br)-R'$.
Step 3: Explanation:
Based on the typical context of this question involving 2-methylbut-2-ene: the $Br_2$ adds across the double bond at positions 2 and 3. This results in two bromine atoms on adjacent carbons, specifically 2,3-dibromo-2-methylbutane.
Step 4: Final Answer:
The product 'A' is 2,3-dibromo-2-methylbutane.