Respuesta :

muradyanbros

Answer:

ABC= 60

DCE= 65

DEF= 105

Step-by-step explanation:

mhanifa

Answer:

  • 60°; 65°; 115°

Step-by-step explanation:

ΔABC is equilateral since all sides marked as congruent. Therefore:

  • m∠ABC = 60°

ΔCDE is isosceles since two sides marked as congruent:

  • m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°

∠DEF forms a linear pair with ∠DEC, so they sum to 180°:

  • m∠DEF = 180° - 65° = 115°