Answer:
65.4
Step-by-step explanation:
Use the Law of Sines here. The Law is as follows:
[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]
We only have need for 2 of those 3 proportions. Since we can have only 1 unknown in a single equation, we have to use angle C as that unknown. That means that other angle and side have to be given in the problem. Angle B is given as 45 and side b is given as 7, so we will use those.
[tex]\frac{sinC}{9}=\frac{sin45}{7}[/tex]
We solve for sinC:
[tex]sinC=\frac{9sin45}{7}[/tex]
Doing that on our calculator gives us
sinC = .9091372901
Taking the inverse sin in degree mode gives you that angle C = 65.4
