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    Mathematics
    Grade-8
    Easy

    Question

    △DEF and straight triangle JKL are shown below. Are these triangles similar?

    1. Similar
    2. Not similar
    3. Angles similar
    4. Angles similar

    The correct answer is: Not similar

      m ∠D + m ∠E + m ∠F = 180°
      m ∠D + 90° + 32° = 180°
      m ∠D + 122° = 180°
      m ∠D = 58°
      The angles in △DEF are 58°, 90°, and 32°. But since △JKL has a 52° angle and △DEF
      does not, △DEF is not similar to △JKL.

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