Question

Find the value of x so that l//m. State the converse used(alternate interior, alternate exterior, corresponding angles, consecutive interior, consecutive exterior)

Answer 1

For l to be parallel to m, angles 87+5x and 10x+17 should be corresponding angles, meaning:

`87^(\circ)+(5x)^(\circ)=(10x+17)^(\circ).`

Solving the above equation for x, we get:

`\begin{gathered} 87+5x=10x+17, \\ 87-17=10x-5x, \\ 70=5x, \\ (70)/(5)=x, \\ 14=x\text{.} \end{gathered}`

x=14.