Find m∠c to the nearest tenth.
Thank you!

Answer:
85.20
Step-by-step explanation:
We have to find the measure of ∠c.
By applying sine rule in the triangle.
[tex]\frac{SinA}{BC}=\frac{Sinc}{AB}[/tex]
Sin A × AB = Sin c × BC ( By multiplication )
( Sin 39° ) × 38 = 24 sinc
sin c = [tex]\frac{38*0.62932}{24}[/tex] = 0.99642
c = [tex]sin^{-1}[/tex] = ( 0.99642 )
= 85.15 ≈ 85.20