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Talja [164]
4 years ago
11

Solve for P, WILL GIVE BRAINLIEST

Mathematics
1 answer:
MariettaO [177]4 years ago
5 0

Answer:

  • p = 37°

Step-by-step explanation:

<u>ΔABD ≅ ΔAEC because:</u>

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

We have two sides and the included angle congruent - SAS

<u>Corresponding parts of congruent figures are congruent:</u>

  • ∠C ≅ ∠D = p°

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

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