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
