Answer:
B = 64.52°
Step-by-step explanation:
Given measures of the triangle ABC are
b = 12, c = 8 and ∠c = 37°
we have to find the measure of ∠B
By applying sine rule in the triangle ABC,
\(\frac{sinB}{b}=\frac{sin C}{c}\)
\(\frac{sinB}{12}=\frac{sin37°}{8}\)
\(\frac{sinB}{12}=\frac{0.601815}{8}\) = 0.07523
By cross multiplication
Sin B = 12 × 0.07523
= 0.9027
B = \(sin^{-1}\) ( 0.9027 )
B = 64.52°
