2. Find the measure of angle L.

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

= , that is

= ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = , then

∠ L = ( ) ≈ 21.6° ( to the nearest tenth )

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.

207/8 is the right