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for what value of x is line m parallel to line n?

enter your answer in the box.

Step-by-step explanation:

we know that

If the lines m and n are parallel

then

----> by corresponding angles

solve for x

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.