Answer :

mhanifa

Answer:

  • See below

Step-by-step explanation:

#4

Corresponding angles and sides of congruent figures are congruent.

∠J and ∠W are congruent angles:

  • 2y + 2 = 122
  • 2y = 120
  • y = 60

KL and XY are congruent sides:

  • 3x + 9 = 129
  • 3x = 120
  • x = 40

#5

Given:

  • ΔABC ≅ ΔDEF

The order of vertices determines the corresponding angles and sides.

Congruent sides:

  • AB = DE
  • BC = EF
  • AC = DF

Congruent angles:

  • ∠A ≅ ∠D
  • ∠B ≅ ∠E
  • ∠C ≅ ∠F

[tex]\\ \tt\longmapsto 3x+9=129[/tex]

[tex]\\ \tt\longmapsto 3x=129-9[/tex]

[tex]\\ \tt\longmapsto 3x=120[/tex]

[tex]\\ \tt\longmapsto x=120/3[/tex]

[tex]\\ \tt\longmapsto x=40[/tex]

And

[tex]\\ \tt\longmapsto 2y+2=122[/tex]

[tex]\\ \tt\longmapsto 2y=120[/tex]

[tex]\\ \tt\longmapsto y=60[/tex]

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