Explanation/Answer Help? (SAT Math Level 2)

There is a problem in Barron’s review book that goes like this:

Solve triangle ABC if: A = 125 degrees, a = 10, b = 8. (Basically, find c, B, C) with Law of Sines.

The Barron’s book is giving me a completely bizarre answer for this. And I want to confirm if it’s an error or not.

a/sin A = b/sin B = C/sin C

You are given a, A, b so you can solve for sin B and find B.

Since C = 180 - A - B, you can then find C and c.