Answer
$B = 54^{\circ}$
Work Step by Step
1. Using area formula
$9.7 = \frac{1}{2}(4)(6)sin(B)$
$9.7 = \frac{1}{2}(24sin(B))$
$19.4 = 24sin(B)$
$.808333... = sin(B)$
by GDC / calculator
$B = 53.933...^{\circ}$
$B = 54^{\circ}$
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