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    Mathematics
    Grade-8
    Easy

    Question

    Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

    1. AA
    2. SSS
    3. SAS
    4. no similar

    The correct answer is: AA

      The triangles are similar by AA.
      ∠ A = 29°
      i n space increment A N F angle A plus angle N plus angle F equals 180 degree left parenthesis i n t e r i o r space a n g l e space s u m space p r o p e r t y right parenthesis angle F equals 45 degree i n space increment E H S angle E plus angle H plus angle S space equals 180 degree left parenthesis i n t e r i o r space a n g l e space s u m space p r o p e r t y right parenthesis angle E equals 106 degree B y space c o m p a r i s i o n space w e space c a n space s e e space b o t h space t r i a n g l e space h a v e space a l l space a n g l e s space a r e space c o n g r u e n t B y space A A space s i m i l a r i t y space t r i a n g l e s space a r e space s i m i l a r
      ∠ S = 29°

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