Respuesta :

ANSWER:

98°

STEP-BY-STEP EXPLANATION:

To calculate the value of y, we must first calculate the value of x, and the value of x can be calculated by means of the following equality (given by the properties, since they are parallel lines):

[tex]6x+20=2x+72[/tex]

Solving for x:

[tex]\begin{gathered} 6x-2x=72-20 \\ 4x=62 \\ x=\frac{62}{4} \\ x=13 \end{gathered}[/tex]

now replacing x for calculate y:

[tex]\begin{gathered} y=2x+72=2\cdot13+72 \\ y=98 \end{gathered}[/tex]

The value of y is 98°

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