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The pair of angles that share a ray as a common side in the given diagram is: ∠FAB and ∠FAD.
<h3>What are Adjacent Angles?</h3>Adjacent angles are angles that lie adjacent or next to each other sharing a common vertex and have the same ray as a common side.
In the diagram attached below, ∠FAB and ∠FAD share a common vertex, A, and a ray FA as a common side.
Therefore, the pair of angles is: ∠FAB and ∠FAD.
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Assuming 
. We have Lagrangian
with partial derivatives (set to 0)[/tex]
Solving this system of linear equations yields
and 
as the sole critical point, which in turn gives a maximum value of 
.
with partial derivatives (set to 0)[/tex]
Solving this system of linear equations yields