Answer:
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
