Answer:
∠ A ≈ 77.8°
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AB}{sinC}[/tex]
[tex]\frac{37}{sinA}[/tex] = [tex]\frac{29}{sin50}[/tex] ( cross- multiply )
29 × sinA = 37 × sin50° ( divide both sides by 29 )
sinA = [tex]\frac{37sin50}{29}[/tex] , then
A = [tex]sin^{-1}[/tex] ( [tex]\frac{37sin50}{29}[/tex] ) ≈ 77.8° ( to 1 dec. place )
