11th Grade Ambiguous Case Quizzes , Questions & Answers

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Solving for Angles and Sides in the Ambiguous Case

Ready to solve triangles when more than one solution exists? In this quiz, you’ll apply the Law of Sines to find missing angles and sides in ambiguous situations. You’ll calculate both possible angle measures, analyze...

Questions: 20 | Attempts: 15 | Last updated: Jan 21, 2026

Sample Question 1
In △ABC, side a = 10, side b = 9, and angle A = 40°. Find possible angle B.

35.4° or 144.6°

46.3° or 133.7°

53.1° or 126.9°

57.0° or 123.0°

Sample Question 2
In △ABC, a = 8, b = 7, A = 35°. Find possible angle B.

29.1° or 150.9°

30.1° or 149.9°

34.5° or 145.5°

36.0° or 144.0°

Sample Question 3
In △ABC, a = 12, b = 10, A = 50°. Find possible angle B.

39.6° or 140.4°

40.2° or 139.8°

41.0° or 139.0°

42.5° or 137.5°

11th Grade Ambiguous Case Quizzes , Questions & Answers

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