camilaslim123
Answered

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IF YOU ANSWER THIS RIGHT NOW ILL GIVE YOU 64 POINTS

IF YOU ANSWER THIS RIGHT NOW ILL GIVE YOU 64 POINTS class=

Sagot :

houseplantz
180=5x-14+25
180=5x+11
169=5x
x=33.8, probably wrong tho:/
mhanifa

Answer:

  • x = 17

Step-by-step explanation:

  • Similar triangles have congruent corresponding angles

Given

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

Corresponding angle pairs:

  • ∠F ≅ ∠P, ∠E ≅ ∠J, ∠G ≅ ∠S

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

  • 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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