Question

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

Answer 1

98°

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):

`6x+20=2x+72`

Solving for x:

`\begin{gathered} 6x-2x=72-20 \\ 4x=62 \\ x=(62)/(4) \\ x=13 \end{gathered}`

now replacing x for calculate y:

`\begin{gathered} y=2x+72=2\cdot13+72 \\ y=98 \end{gathered}`

The value of y is 98°