Find the missing sides and angles of a triangle using the law of sines

The video tutorial guides viewers through solving a triangle problem by setting up a triangle with given angles and a side, creating proportions to find unknown sides, and using trigonometric ratios and the law of sines. It emphasizes the importance of keeping unknowns in the numerator and using precise calculations to avoid errors. The tutorial also covers the angle sum theorem to determine missing angles.

Describe the triangle angle sum theorem and how it applies to this problem.

What steps should be taken to ensure accuracy when using calculated answers in further calculations?