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    • Question

      In a triangle △ ABC, AB = AC and ∠A = 80°, then

      find ∠B.
      A 50° Correct Answer Incorrect Answer
      B 80° Correct Answer Incorrect Answer
      C 40° Correct Answer Incorrect Answer
      D 45° Correct Answer Incorrect Answer

      Solution

      In triangle △ABC, AB = AC, so it's an isosceles triangle.
      Given ∠A = 80°, the base angles ∠B and ∠C are equal. Using the angle sum of a triangle:
      ∠A + ∠B + ∠C = 180°
      80° + ∠B + ∠B = 180°
      2∠B = 100°
      ∠B = 50°

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