Question

Find the value of X that makes lines L and M parallel.

Answer 1

lol mine looks different

Answer 2

x = 11

Explanation:

If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

`2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\(2x)/(2)=(22)/(2)~(Divide~2~on~both~sides)\\\\x=11~(Simplify)`