Question

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

Answer 1

Answer:

$x = 12$

Converse: Alternate Interior Angles Converse

Step-by-step 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

$\frac{5x}{5} = \frac{60}{5}$

$x = 12$