Lines a and b are parallel. Find the value of y.(6x+20)02.(2x +72)ab82869498O

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°