Respuesta :

Answer:

142 degrees

Explanations:

Since alternate exterior angles are equal, therefore;

[tex]\begin{gathered} 5x-28=3x+11 \\ 5x-3x=11+28 \\ 2x=39 \\ x=\frac{39}{2} \\ x=19.8 \end{gathered}[/tex]

Find the angle measures

[tex]\begin{gathered} a=5x-28 \\ a=5(19.8)-28 \\ a=99-28 \\ a=71 \end{gathered}[/tex]

Since both angles are equal, the sum of the angles is expressed as;

[tex]\begin{gathered} Sum=71^0+71^0 \\ Sum=142^0 \end{gathered}[/tex]

Therefore the sum of the angle measures is 142 degrees

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