Question

How do you solve this using Law of Sine??​

Answer 1

`m\angle C=47.07^\circ`

Explanation:

Law of Sines

`(sinA)/(a)=(sinB)/(b)=(sinC)/(c)`

Determine angle C given angle A and side "a"

`(sin(118^\circ))/(41)=(sinC)/(34)\\ \\34sin(118^\circ)=41sinC\\\\(34sin(118^\circ))/(41)=sinC\\\\C=sin^(-1)((34sin(118^\circ))/(41))\\\\C\approx47.07^\circ`

Therefore,
`m\angle C=47.07^\circ`