# Solving for Angles in the Oblique Triangle (Math Problem Sample)

Solve for α in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°

1. Type out the two equations substituting the numbers from the diagram.

2. Type out the Law of Sines set of relationships and type out the most appropriate version to use the Law of Cosines for this solution.

3. Solve for a using both methods (show step by step work)

Solution

Solve for α in the oblique triangle ABC; AB = 30; AC = 15 and angle B = 20°

1 Type out the two equations substituting the numbers from the diagram.

2 Type out the Law of Sines set of relationships and type out the most appropriate version to use the Law of Cosines for this solution.

3 Solve for a using both methods (show step by step work)

Solution

1 The sum of all angles of a triangle adds up to 180o

A+B+C = 180, and B = 20

A+20+C = 180

A + C = 160

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