Respuesta :

Answer: AB=DE=6 units

[tex]m\angle{F}=m\angle{C}=50^{\circ}[/tex]


Step-by-step explanation:

Given: ∆ABC ≅ ∆DEF

We know that if two triangles are congruent then their corresponding sides and angles are congruent. [By CPCTC]

Now, AB≅DE=6 units

Therefore, AB= 6units

EF≅BC=4 units and AC=DF

[tex]m\angle{D}\cong m\angle{A}=30^{\circ}\\\Rightarrow\ m\angle{D}=30^{\circ}[/tex]

[tex]m\angle{F}\cong m\angle{C}=50^{\circ}\\\Rightarrow\ m\angle{F}\cong50^{\circ} [/tex]


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