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

Find the value of x so that lm State the converse usedalternate interior alternate exterior corresponding angles consecutive interior consecutive exterior class=

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Answer:

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

[tex]87^{\circ}+(5x)^{\circ}=(10x+17)^{\circ}.[/tex]

Solving the above equation for x, we get:

[tex]\begin{gathered} 87+5x=10x+17, \\ 87-17=10x-5x, \\ 70=5x, \\ \frac{70}{5}=x, \\ 14=x\text{.} \end{gathered}[/tex]

x=14.