Respuesta :

mhanifa

Answer:

  • p = 37°

Step-by-step explanation:

ΔABD ≅ ΔAEC because:

  • AB = AE = 10
  • AD = AC = 17
  • ∠A is common and congruent to itself

We have two sides and the included angle congruent - SAS

Corresponding parts of congruent figures are congruent:

  • ∠C ≅ ∠D = p°

Now, ∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:

  • m∠CED = m∠A + m∠C
  • 79° = 42° + p°
  • p = 79° - 42°
  • p = 37°