Respuesta :

Given:

[tex]\begin{gathered} \Delta ABC\cong\Delta DEF \\ \angle A=50 \\ \angle E=30 \end{gathered}[/tex]

To find:

[tex]\angle C[/tex]

Since,

[tex]\begin{gathered} \Delta ABC\cong\Delta DEF \\ \angle A=\angle D=50 \\ \angle B=\angle E=30 \\ \angle C=\angle F \end{gathered}[/tex]

Using the angle sum property, we get

[tex]\begin{gathered} A+B+C=180 \\ 50+30+C=180 \\ C=180-80 \\ C=100 \end{gathered}[/tex]

Hence, the correct option is C.

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