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Natasha2012 [34]
3 years ago
14

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

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

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

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