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    • Question

      In AABC, ∠A = 85° and ∠C = 58°. If ΔPQR is

      similar to ΔABC, and in correspondence, then find ∠Q.
      A 37° Correct Answer Incorrect Answer
      B 85° Correct Answer Incorrect Answer
      C 58° Correct Answer Incorrect Answer
      D 73° Correct Answer Incorrect Answer

      Solution

      ΔΑΒC~ ΔΡQR, ∠ A = 85° and ∠ C = 58° In ∆ABC ∠ A + ∠ B + ∠ C = 180° [The sum of interior angles of a triangle is 180°.] 85° + ∠ B + 58° = 180° ∠ B = 37° We know that the corresponding angles of similar triangles are equal. So,   ∠ Q = ∠ B = 37°

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