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mel-nik [20]
3 years ago
6

IF YOU ANSWER THIS RIGHT NOW ILL GIVE YOU 64 POINTS

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0
180=5x-14+25
180=5x+11
169=5x
x=33.8, probably wrong tho:/
PSYCHO15rus [73]3 years ago
4 0

Answer:

  • x = 17

Step-by-step explanation:

  • Similar triangles have congruent corresponding angles

<u>Given</u>

  • ΔFEG ~ΔPJS
  • m∠P = (5x - 14)°, m∠S = 25°, m∠E = 84°

<u>Corresponding angle pairs:</u>

  • ∠F ≅ ∠P, ∠E ≅ ∠J, ∠G ≅ ∠S

<u>Sum of internal angles of a triangle is 180°, substitute and solve for x:</u>

  • m∠P + m∠J + m∠S = 180°
  • m∠P + m∠E + m∠S = 180°
  • (5x - 14)° + 84° + 25° = 180°
  • 5x = 180° - 95°
  • 5x = 85°
  • x = 85°/5
  • x = 17
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