Question

Find the the measure of angle C

Answer 1

Answer:

65.4

Step-by-step explanation:

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

$\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}$

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.

$\frac{sinC}{9}=\frac{sin45}{7}$

We solve for sinC:

$sinC=\frac{9sin45}{7}$

Doing that on our calculator gives us

sinC = .9091372901

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