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natulia [17]
1 year ago
7

Find the value of x that makes line m parallel to line n.​

Mathematics
1 answer:
evablogger [386]1 year ago
4 0

Answer: <em>x</em> = 20

Step-by-step explanation:

   If line <em>m</em> is parallel to line <em>n</em>, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for <em>x</em>.

Given:

(4<em>x</em> - 23) = (2<em>x</em> + 17)

Add 23 to both sides of the equation:

4<em>x</em> = 2<em>x</em> + 40

Subtract 2<em>x</em> from both sides of the equation:

2<em>x</em> = 40

Divide both sides of the equation by 2:

<em>x</em> = 20

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