Question

Find x so that l || m. state the converse used.

Answer 1

`x = 12`

Converse: Alternate Interior Angles Converse

Explanation:

By the Alternate Interior Angles Converse, if
`(14x - 23) = (9x + 37)`, then l || m.

Use the equation to solve for x as follows:

`14x - 23 = 9x + 37`

Subtract 9x from each side

`14x - 23 - 9x = 9x + 37 - 9x`

`5x - 23 = 37`

Add 23 to both sides

`5x - 23 + 23 = 37 + 23`

`5x = 60`

Divide both sides by 5

`(5x)/(5) = (60)/(5)`

`x = 12`