What is the measure of ∠C, to the nearest degree?
22°
43°
47°
68°
We can use the Law of Sines,here
sin 61 / 45 = sin C / 35 multiply both sides by 35
35 * sin 61 / 45 = sin C
(35 / 45) sin 61 = sin C
(7/9)sin 61 = sin C
Use the sine inverse to find C
arcsin [ (7/9) sin 61 ] = C ≈ 42.86° = 43°
