Respuesta :

Answer:

∠ CFE = 28°

Step-by-step explanation:

∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°

∠ CFE + 152° = 180° ( subtract 152° from both sides )

∠ CFE = 28°

Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".

Adjacent angles:

  • It's simple, and we see what it means: two angles that are next to each other.
  • Its common side and vertex will be shared by the adjacent angles.
  • If the total of two angles equals 180°, they are said to be supplementary angles.
  • A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary angles.

We have, ∠ EFD = 152°

∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°

[tex]\therefore[/tex]

∠CFE + ∠EFD = 180° (Linear pair)

∠CFE +152° = 180°

∠CFE= 180°-152°

∠CFE= 28°

Find out more about the adjacent angles here:

brainly.com/question/12838185

Otras preguntas