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Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.

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sqdancefan

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Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

  • A = 18°
  • B = 110°
  • C = 180° -18° -110° = 52°

Triangle DEF has angle measures ...

  • D = 52°
  • E = 18°
  • F = 180° -52° -18° = 110°

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.

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