Hello, qbkr21!

Given three sides of a triangle, you need the Law of Cosines.

You should be able to start with: .

. . and write it in the form: .

If , find the angles

Give your answer in degrees to at least 3 decimal places.

To find angle , use: .

. . We have: .

. . Hence: .

. . Therefore: .

To find angle , use: .

. . We have: .

. . Hence: .

. . Therefore: .

To find angle , subtract and from**

. . Therefore: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

**That is,ifyou trust your answers for and

To check, we can find with: .

We have: .

Then: . . . . close enough!