∠LXN is bisected by XM↔. If m∠MXN = 41.5°, what is the measure of ∠LXN ?

83°

Step-by-step explanation:

As the line XM bisects the angle ∠LXN, we will have two equal angles generated: ∠LXM and ∠MXN.

So, if the angle ∠MXN = 41.5°, the angle ∠LXM is also 41.5°.

These two angles have the line XM in common, and the angle ∠LXN will be the sum of them.

So the measure of ∠LXN is:

∠LXN = ∠LXM + ∠MXN = 41.5 + 41.5 = 83°

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.