Question

Find the the measure of angle C

Answer 1

65.4

Explanation:

Use the Law of Sines here. The Law is as follows:

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

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.

`(sinC)/(9)=(sin45)/(7)`

We solve for sinC:

`sinC=(9sin45)/(7)`

Doing that on our calculator gives us

sinC = .9091372901

Taking the inverse sin in degree mode gives you that angle C = 65.4